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Finding the Fourth Proportional to 517.72, 714.46 and 284.85

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Solution

The fourth proportional to 517.72, 714.46 and 284.85 is: 393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 714.46 = 284.85 : x
  2. Step 2: Convert to fraction form
    517.72/714.46 = 284.85/x
  3. Step 3: Cross multiply
    517.72x = 714.46 × 284.85
  4. Step 4: Simplify right side
    517.72x = 203,510.36
  5. Step 5: Solve for x
    x = 203,510.36/517.72
  6. Step 6: Final answer
    x = 393.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.