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Finding the Fourth Proportional to 719.96, 992.25 and 457.52

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Solution

The fourth proportional to 719.96, 992.25 and 457.52 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 992.25 = 457.52 : x
  2. Step 2: Convert to fraction form
    719.96/992.25 = 457.52/x
  3. Step 3: Cross multiply
    719.96x = 992.25 × 457.52
  4. Step 4: Simplify right side
    719.96x = 453,969.26
  5. Step 5: Solve for x
    x = 453,969.26/719.96
  6. Step 6: Final answer
    x = 630.55

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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.