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Finding the Fourth Proportional to 633.39, 951.53 and 458.23

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Solution

The fourth proportional to 633.39, 951.53 and 458.23 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.39 : 951.53 = 458.23 : x
  2. Step 2: Convert to fraction form
    633.39/951.53 = 458.23/x
  3. Step 3: Cross multiply
    633.39x = 951.53 × 458.23
  4. Step 4: Simplify right side
    633.39x = 436,020.25
  5. Step 5: Solve for x
    x = 436,020.25/633.39
  6. Step 6: Final answer
    x = 688.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.