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Finding the Fourth Proportional to 523.92, 780.50 and 498.96

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Solution

The fourth proportional to 523.92, 780.50 and 498.96 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 780.50 = 498.96 : x
  2. Step 2: Convert to fraction form
    523.92/780.50 = 498.96/x
  3. Step 3: Cross multiply
    523.92x = 780.50 × 498.96
  4. Step 4: Simplify right side
    523.92x = 389,438.28
  5. Step 5: Solve for x
    x = 389,438.28/523.92
  6. Step 6: Final answer
    x = 743.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.