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Finding the Fourth Proportional to 477.52, 655.43 and 457.48

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Solution

The fourth proportional to 477.52, 655.43 and 457.48 is: 627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 655.43 = 457.48 : x
  2. Step 2: Convert to fraction form
    477.52/655.43 = 457.48/x
  3. Step 3: Cross multiply
    477.52x = 655.43 × 457.48
  4. Step 4: Simplify right side
    477.52x = 299,846.12
  5. Step 5: Solve for x
    x = 299,846.12/477.52
  6. Step 6: Final answer
    x = 627.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.