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Finding the Fourth Proportional to 718.47, 991.51 and 423.77

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Solution

The fourth proportional to 718.47, 991.51 and 423.77 is: 584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.47 : 991.51 = 423.77 : x
  2. Step 2: Convert to fraction form
    718.47/991.51 = 423.77/x
  3. Step 3: Cross multiply
    718.47x = 991.51 × 423.77
  4. Step 4: Simplify right side
    718.47x = 420,166.18
  5. Step 5: Solve for x
    x = 420,166.18/718.47
  6. Step 6: Final answer
    x = 584.81

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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.