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Finding the Fourth Proportional to 596.22, 894.15 and 206.12

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Solution

The fourth proportional to 596.22, 894.15 and 206.12 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 894.15 = 206.12 : x
  2. Step 2: Convert to fraction form
    596.22/894.15 = 206.12/x
  3. Step 3: Cross multiply
    596.22x = 894.15 × 206.12
  4. Step 4: Simplify right side
    596.22x = 184,298.50
  5. Step 5: Solve for x
    x = 184,298.50/596.22
  6. Step 6: Final answer
    x = 309.11

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.