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Finding the Fourth Proportional to 564.10, 778.21 and 432.88

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Solution

The fourth proportional to 564.10, 778.21 and 432.88 is: 597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 778.21 = 432.88 : x
  2. Step 2: Convert to fraction form
    564.10/778.21 = 432.88/x
  3. Step 3: Cross multiply
    564.10x = 778.21 × 432.88
  4. Step 4: Simplify right side
    564.10x = 336,868.52
  5. Step 5: Solve for x
    x = 336,868.52/564.10
  6. Step 6: Final answer
    x = 597.18

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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.