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Finding the Fourth Proportional to 631.04, 872.16 and 456.80

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Solution

The fourth proportional to 631.04, 872.16 and 456.80 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.04 : 872.16 = 456.80 : x
  2. Step 2: Convert to fraction form
    631.04/872.16 = 456.80/x
  3. Step 3: Cross multiply
    631.04x = 872.16 × 456.80
  4. Step 4: Simplify right side
    631.04x = 398,402.69
  5. Step 5: Solve for x
    x = 398,402.69/631.04
  6. Step 6: Final answer
    x = 631.34

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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.