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Finding the Fourth Proportional to 487.32, 730.68 and 209.60

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Solution

The fourth proportional to 487.32, 730.68 and 209.60 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.32 : 730.68 = 209.60 : x
  2. Step 2: Convert to fraction form
    487.32/730.68 = 209.60/x
  3. Step 3: Cross multiply
    487.32x = 730.68 × 209.60
  4. Step 4: Simplify right side
    487.32x = 153,150.53
  5. Step 5: Solve for x
    x = 153,150.53/487.32
  6. Step 6: Final answer
    x = 314.27

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