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Finding the Fourth Proportional to 517.05, 713.49 and 284.18

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Solution

The fourth proportional to 517.05, 713.49 and 284.18 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 713.49 = 284.18 : x
  2. Step 2: Convert to fraction form
    517.05/713.49 = 284.18/x
  3. Step 3: Cross multiply
    517.05x = 713.49 × 284.18
  4. Step 4: Simplify right side
    517.05x = 202,756.02
  5. Step 5: Solve for x
    x = 202,756.02/517.05
  6. Step 6: Final answer
    x = 392.14

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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.