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Finding the Fourth Proportional to 524.65, 786.96 and 498.70

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Solution

The fourth proportional to 524.65, 786.96 and 498.70 is: 748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 786.96 = 498.70 : x
  2. Step 2: Convert to fraction form
    524.65/786.96 = 498.70/x
  3. Step 3: Cross multiply
    524.65x = 786.96 × 498.70
  4. Step 4: Simplify right side
    524.65x = 392,456.95
  5. Step 5: Solve for x
    x = 392,456.95/524.65
  6. Step 6: Final answer
    x = 748.04

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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.