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Finding the Fourth Proportional to 578.10, 867.28 and 212.96

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Solution

The fourth proportional to 578.10, 867.28 and 212.96 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 867.28 = 212.96 : x
  2. Step 2: Convert to fraction form
    578.10/867.28 = 212.96/x
  3. Step 3: Cross multiply
    578.10x = 867.28 × 212.96
  4. Step 4: Simplify right side
    578.10x = 184,695.95
  5. Step 5: Solve for x
    x = 184,695.95/578.10
  6. Step 6: Final answer
    x = 319.49

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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.