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Finding the Fourth Proportional to 590.24, 883.87 and 499.34

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Solution

The fourth proportional to 590.24, 883.87 and 499.34 is: 747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 883.87 = 499.34 : x
  2. Step 2: Convert to fraction form
    590.24/883.87 = 499.34/x
  3. Step 3: Cross multiply
    590.24x = 883.87 × 499.34
  4. Step 4: Simplify right side
    590.24x = 441,352.61
  5. Step 5: Solve for x
    x = 441,352.61/590.24
  6. Step 6: Final answer
    x = 747.75

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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.