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Finding the Fourth Proportional to 718.98, 992.07 and 424.23

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Solution

The fourth proportional to 718.98, 992.07 and 424.23 is: 585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.98 : 992.07 = 424.23 : x
  2. Step 2: Convert to fraction form
    718.98/992.07 = 424.23/x
  3. Step 3: Cross multiply
    718.98x = 992.07 × 424.23
  4. Step 4: Simplify right side
    718.98x = 420,865.86
  5. Step 5: Solve for x
    x = 420,865.86/718.98
  6. Step 6: Final answer
    x = 585.37

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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.