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Finding the Fourth Proportional to 502.44, 692.62 and 432.19

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Solution

The fourth proportional to 502.44, 692.62 and 432.19 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 692.62 = 432.19 : x
  2. Step 2: Convert to fraction form
    502.44/692.62 = 432.19/x
  3. Step 3: Cross multiply
    502.44x = 692.62 × 432.19
  4. Step 4: Simplify right side
    502.44x = 299,343.44
  5. Step 5: Solve for x
    x = 299,343.44/502.44
  6. Step 6: Final answer
    x = 595.78

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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.