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Finding the Fourth Proportional to 564.32, 778.22 and 431.30

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Solution

The fourth proportional to 564.32, 778.22 and 431.30 is: 594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 778.22 = 431.30 : x
  2. Step 2: Convert to fraction form
    564.32/778.22 = 431.30/x
  3. Step 3: Cross multiply
    564.32x = 778.22 × 431.30
  4. Step 4: Simplify right side
    564.32x = 335,640.24
  5. Step 5: Solve for x
    x = 335,640.24/564.32
  6. Step 6: Final answer
    x = 594.77

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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.