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Finding the Fourth Proportional to 633.47, 950.20 and 506.03

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Solution

The fourth proportional to 633.47, 950.20 and 506.03 is: 759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.47 : 950.20 = 506.03 : x
  2. Step 2: Convert to fraction form
    633.47/950.20 = 506.03/x
  3. Step 3: Cross multiply
    633.47x = 950.20 × 506.03
  4. Step 4: Simplify right side
    633.47x = 480,823.69
  5. Step 5: Solve for x
    x = 480,823.69/633.47
  6. Step 6: Final answer
    x = 759.04

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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.