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Finding the Fourth Proportional to 632.24, 872.64 and 457.28

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Solution

The fourth proportional to 632.24, 872.64 and 457.28 is: 631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 872.64 = 457.28 : x
  2. Step 2: Convert to fraction form
    632.24/872.64 = 457.28/x
  3. Step 3: Cross multiply
    632.24x = 872.64 × 457.28
  4. Step 4: Simplify right side
    632.24x = 399,040.82
  5. Step 5: Solve for x
    x = 399,040.82/632.24
  6. Step 6: Final answer
    x = 631.15

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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.