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Finding the Fourth Proportional to 528.16, 727.04 and 457.80

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Solution

The fourth proportional to 528.16, 727.04 and 457.80 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.16 : 727.04 = 457.80 : x
  2. Step 2: Convert to fraction form
    528.16/727.04 = 457.80/x
  3. Step 3: Cross multiply
    528.16x = 727.04 × 457.80
  4. Step 4: Simplify right side
    528.16x = 332,838.91
  5. Step 5: Solve for x
    x = 332,838.91/528.16
  6. Step 6: Final answer
    x = 630.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.