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Finding the Fourth Proportional to 716.46, 988.92 and 468.06

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Solution

The fourth proportional to 716.46, 988.92 and 468.06 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.46 : 988.92 = 468.06 : x
  2. Step 2: Convert to fraction form
    716.46/988.92 = 468.06/x
  3. Step 3: Cross multiply
    716.46x = 988.92 × 468.06
  4. Step 4: Simplify right side
    716.46x = 462,873.90
  5. Step 5: Solve for x
    x = 462,873.90/716.46
  6. Step 6: Final answer
    x = 646.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.