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Finding the Fourth Proportional to 719.16, 992.07 and 456.90

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Solution

The fourth proportional to 719.16, 992.07 and 456.90 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.16 : 992.07 = 456.90 : x
  2. Step 2: Convert to fraction form
    719.16/992.07 = 456.90/x
  3. Step 3: Cross multiply
    719.16x = 992.07 × 456.90
  4. Step 4: Simplify right side
    719.16x = 453,276.78
  5. Step 5: Solve for x
    x = 453,276.78/719.16
  6. Step 6: Final answer
    x = 630.29

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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.