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Finding the Fourth Proportional to 718.40, 991.62 and 456.56

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Solution

The fourth proportional to 718.40, 991.62 and 456.56 is: 630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.40 : 991.62 = 456.56 : x
  2. Step 2: Convert to fraction form
    718.40/991.62 = 456.56/x
  3. Step 3: Cross multiply
    718.40x = 991.62 × 456.56
  4. Step 4: Simplify right side
    718.40x = 452,734.03
  5. Step 5: Solve for x
    x = 452,734.03/718.40
  6. Step 6: Final answer
    x = 630.20

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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.