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Finding the Fourth Proportional to 590.72, 886.16 and 373.92

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Solution

The fourth proportional to 590.72, 886.16 and 373.92 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 886.16 = 373.92 : x
  2. Step 2: Convert to fraction form
    590.72/886.16 = 373.92/x
  3. Step 3: Cross multiply
    590.72x = 886.16 × 373.92
  4. Step 4: Simplify right side
    590.72x = 331,352.95
  5. Step 5: Solve for x
    x = 331,352.95/590.72
  6. Step 6: Final answer
    x = 560.93

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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.