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Finding the Fourth Proportional to 520.29, 718.02 and 284.25

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Solution

The fourth proportional to 520.29, 718.02 and 284.25 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.29 : 718.02 = 284.25 : x
  2. Step 2: Convert to fraction form
    520.29/718.02 = 284.25/x
  3. Step 3: Cross multiply
    520.29x = 718.02 × 284.25
  4. Step 4: Simplify right side
    520.29x = 204,097.19
  5. Step 5: Solve for x
    x = 204,097.19/520.29
  6. Step 6: Final answer
    x = 392.28

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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.