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Finding the Fourth Proportional to 584.48, 876.76 and 498.42

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Solution

The fourth proportional to 584.48, 876.76 and 498.42 is: 747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 876.76 = 498.42 : x
  2. Step 2: Convert to fraction form
    584.48/876.76 = 498.42/x
  3. Step 3: Cross multiply
    584.48x = 876.76 × 498.42
  4. Step 4: Simplify right side
    584.48x = 436,993.47
  5. Step 5: Solve for x
    x = 436,993.47/584.48
  6. Step 6: Final answer
    x = 747.66

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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.