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Finding the Fourth Proportional to 517.04, 713.48 and 284.16

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Solution

The fourth proportional to 517.04, 713.48 and 284.16 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 713.48 = 284.16 : x
  2. Step 2: Convert to fraction form
    517.04/713.48 = 284.16/x
  3. Step 3: Cross multiply
    517.04x = 713.48 × 284.16
  4. Step 4: Simplify right side
    517.04x = 202,742.48
  5. Step 5: Solve for x
    x = 202,742.48/517.04
  6. Step 6: Final answer
    x = 392.12

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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.