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Finding the Fourth Proportional to 615.80, 920.82 and 431.90

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Solution

The fourth proportional to 615.80, 920.82 and 431.90 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.80 : 920.82 = 431.90 : x
  2. Step 2: Convert to fraction form
    615.80/920.82 = 431.90/x
  3. Step 3: Cross multiply
    615.80x = 920.82 × 431.90
  4. Step 4: Simplify right side
    615.80x = 397,702.16
  5. Step 5: Solve for x
    x = 397,702.16/615.80
  6. Step 6: Final answer
    x = 645.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.