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Finding the Fourth Proportional to 718.96, 992 and 424.12

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Solution

The fourth proportional to 718.96, 992 and 424.12 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.96 : 992 = 424.12 : x
  2. Step 2: Convert to fraction form
    718.96/992 = 424.12/x
  3. Step 3: Cross multiply
    718.96x = 992 × 424.12
  4. Step 4: Simplify right side
    718.96x = 420,727.04
  5. Step 5: Solve for x
    x = 420,727.04/718.96
  6. Step 6: Final answer
    x = 585.19

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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.