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Finding the Fourth Proportional to 518.26, 714.61 and 424.71

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Solution

The fourth proportional to 518.26, 714.61 and 424.71 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.26 : 714.61 = 424.71 : x
  2. Step 2: Convert to fraction form
    518.26/714.61 = 424.71/x
  3. Step 3: Cross multiply
    518.26x = 714.61 × 424.71
  4. Step 4: Simplify right side
    518.26x = 303,502.01
  5. Step 5: Solve for x
    x = 303,502.01/518.26
  6. Step 6: Final answer
    x = 585.62

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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.