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Finding the Fourth Proportional to 590.88, 885.72 and 374.04

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Solution

The fourth proportional to 590.88, 885.72 and 374.04 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 885.72 = 374.04 : x
  2. Step 2: Convert to fraction form
    590.88/885.72 = 374.04/x
  3. Step 3: Cross multiply
    590.88x = 885.72 × 374.04
  4. Step 4: Simplify right side
    590.88x = 331,294.71
  5. Step 5: Solve for x
    x = 331,294.71/590.88
  6. Step 6: Final answer
    x = 560.68

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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.