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Finding the Fourth Proportional to 517.65, 714.36 and 284.78

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Solution

The fourth proportional to 517.65, 714.36 and 284.78 is: 392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 714.36 = 284.78 : x
  2. Step 2: Convert to fraction form
    517.65/714.36 = 284.78/x
  3. Step 3: Cross multiply
    517.65x = 714.36 × 284.78
  4. Step 4: Simplify right side
    517.65x = 203,431.87
  5. Step 5: Solve for x
    x = 203,431.87/517.65
  6. Step 6: Final answer
    x = 392.99

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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.