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Finding the Fourth Proportional to 633.28, 873.80 and 456.16

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Solution

The fourth proportional to 633.28, 873.80 and 456.16 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.28 : 873.80 = 456.16 : x
  2. Step 2: Convert to fraction form
    633.28/873.80 = 456.16/x
  3. Step 3: Cross multiply
    633.28x = 873.80 × 456.16
  4. Step 4: Simplify right side
    633.28x = 398,592.61
  5. Step 5: Solve for x
    x = 398,592.61/633.28
  6. Step 6: Final answer
    x = 629.41

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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.