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Finding the Fourth Proportional to 596.40, 894.74 and 185.50

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Solution

The fourth proportional to 596.40, 894.74 and 185.50 is: 278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 894.74 = 185.50 : x
  2. Step 2: Convert to fraction form
    596.40/894.74 = 185.50/x
  3. Step 3: Cross multiply
    596.40x = 894.74 × 185.50
  4. Step 4: Simplify right side
    596.40x = 165,974.46
  5. Step 5: Solve for x
    x = 165,974.46/596.40
  6. Step 6: Final answer
    x = 278.30

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Double scale
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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.