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Finding the Fourth Proportional to 718.32, 991.44 and 497.04

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Solution

The fourth proportional to 718.32, 991.44 and 497.04 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.32 : 991.44 = 497.04 : x
  2. Step 2: Convert to fraction form
    718.32/991.44 = 497.04/x
  3. Step 3: Cross multiply
    718.32x = 991.44 × 497.04
  4. Step 4: Simplify right side
    718.32x = 492,785.34
  5. Step 5: Solve for x
    x = 492,785.34/718.32
  6. Step 6: Final answer
    x = 686.02

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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.