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Finding the Fourth Proportional to 602.97, 905.46 and 373.20

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Solution

The fourth proportional to 602.97, 905.46 and 373.20 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 905.46 = 373.20 : x
  2. Step 2: Convert to fraction form
    602.97/905.46 = 373.20/x
  3. Step 3: Cross multiply
    602.97x = 905.46 × 373.20
  4. Step 4: Simplify right side
    602.97x = 337,917.67
  5. Step 5: Solve for x
    x = 337,917.67/602.97
  6. Step 6: Final answer
    x = 560.42

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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.