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Finding the Fourth Proportional to 718.14, 990.71 and 423.27

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Solution

The fourth proportional to 718.14, 990.71 and 423.27 is: 583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.14 : 990.71 = 423.27 : x
  2. Step 2: Convert to fraction form
    718.14/990.71 = 423.27/x
  3. Step 3: Cross multiply
    718.14x = 990.71 × 423.27
  4. Step 4: Simplify right side
    718.14x = 419,337.82
  5. Step 5: Solve for x
    x = 419,337.82/718.14
  6. Step 6: Final answer
    x = 583.92

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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.