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Finding the Fourth Proportional to 517.68, 775.80 and 429.84

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Solution

The fourth proportional to 517.68, 775.80 and 429.84 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 775.80 = 429.84 : x
  2. Step 2: Convert to fraction form
    517.68/775.80 = 429.84/x
  3. Step 3: Cross multiply
    517.68x = 775.80 × 429.84
  4. Step 4: Simplify right side
    517.68x = 333,469.87
  5. Step 5: Solve for x
    x = 333,469.87/517.68
  6. Step 6: Final answer
    x = 644.16

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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.