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Finding the Fourth Proportional to 633.61, 951.50 and 537.49

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Solution

The fourth proportional to 633.61, 951.50 and 537.49 is: 807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 951.50 = 537.49 : x
  2. Step 2: Convert to fraction form
    633.61/951.50 = 537.49/x
  3. Step 3: Cross multiply
    633.61x = 951.50 × 537.49
  4. Step 4: Simplify right side
    633.61x = 511,421.74
  5. Step 5: Solve for x
    x = 511,421.74/633.61
  6. Step 6: Final answer
    x = 807.16

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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.