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Finding the Fourth Proportional to 477.74, 657.55 and 407.57

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Solution

The fourth proportional to 477.74, 657.55 and 407.57 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 657.55 = 407.57 : x
  2. Step 2: Convert to fraction form
    477.74/657.55 = 407.57/x
  3. Step 3: Cross multiply
    477.74x = 657.55 × 407.57
  4. Step 4: Simplify right side
    477.74x = 267,997.65
  5. Step 5: Solve for x
    x = 267,997.65/477.74
  6. Step 6: Final answer
    x = 560.97

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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.