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Finding the Fourth Proportional to 718.74, 991.86 and 424.00

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Solution

The fourth proportional to 718.74, 991.86 and 424.00 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.74 : 991.86 = 424.00 : x
  2. Step 2: Convert to fraction form
    718.74/991.86 = 424.00/x
  3. Step 3: Cross multiply
    718.74x = 991.86 × 424.00
  4. Step 4: Simplify right side
    718.74x = 420,548.29
  5. Step 5: Solve for x
    x = 420,548.29/718.74
  6. Step 6: Final answer
    x = 585.12

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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.