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Finding the Fourth Proportional to 564.52, 777.62 and 471.24

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Solution

The fourth proportional to 564.52, 777.62 and 471.24 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 777.62 = 471.24 : x
  2. Step 2: Convert to fraction form
    564.52/777.62 = 471.24/x
  3. Step 3: Cross multiply
    564.52x = 777.62 × 471.24
  4. Step 4: Simplify right side
    564.52x = 366,445.65
  5. Step 5: Solve for x
    x = 366,445.65/564.52
  6. Step 6: Final answer
    x = 649.13

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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.