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Finding the Fourth Proportional to 498.65, 748.83 and 477.05

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Solution

The fourth proportional to 498.65, 748.83 and 477.05 is: 716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 748.83 = 477.05 : x
  2. Step 2: Convert to fraction form
    498.65/748.83 = 477.05/x
  3. Step 3: Cross multiply
    498.65x = 748.83 × 477.05
  4. Step 4: Simplify right side
    498.65x = 357,229.35
  5. Step 5: Solve for x
    x = 357,229.35/498.65
  6. Step 6: Final answer
    x = 716.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.