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Finding the Fourth Proportional to 477.72, 657.24 and 466.80

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Solution

The fourth proportional to 477.72, 657.24 and 466.80 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 657.24 = 466.80 : x
  2. Step 2: Convert to fraction form
    477.72/657.24 = 466.80/x
  3. Step 3: Cross multiply
    477.72x = 657.24 × 466.80
  4. Step 4: Simplify right side
    477.72x = 306,799.63
  5. Step 5: Solve for x
    x = 306,799.63/477.72
  6. Step 6: Final answer
    x = 642.22

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Why These Related Problems?

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