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Finding the Fourth Proportional to 540.48, 809.76 and 463.68

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Solution

The fourth proportional to 540.48, 809.76 and 463.68 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 809.76 = 463.68 : x
  2. Step 2: Convert to fraction form
    540.48/809.76 = 463.68/x
  3. Step 3: Cross multiply
    540.48x = 809.76 × 463.68
  4. Step 4: Simplify right side
    540.48x = 375,469.52
  5. Step 5: Solve for x
    x = 375,469.52/540.48
  6. Step 6: Final answer
    x = 694.70

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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.