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Finding the Fourth Proportional to 718.14, 991.02 and 442.14

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Solution

The fourth proportional to 718.14, 991.02 and 442.14 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.14 : 991.02 = 442.14 : x
  2. Step 2: Convert to fraction form
    718.14/991.02 = 442.14/x
  3. Step 3: Cross multiply
    718.14x = 991.02 × 442.14
  4. Step 4: Simplify right side
    718.14x = 438,169.58
  5. Step 5: Solve for x
    x = 438,169.58/718.14
  6. Step 6: Final answer
    x = 610.15

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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.