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Finding the Fourth Proportional to 518.48, 775.40 and 461.06

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Solution

The fourth proportional to 518.48, 775.40 and 461.06 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.48 : 775.40 = 461.06 : x
  2. Step 2: Convert to fraction form
    518.48/775.40 = 461.06/x
  3. Step 3: Cross multiply
    518.48x = 775.40 × 461.06
  4. Step 4: Simplify right side
    518.48x = 357,505.92
  5. Step 5: Solve for x
    x = 357,505.92/518.48
  6. Step 6: Final answer
    x = 689.53

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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.