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Finding the Fourth Proportional to 633.70, 876.90 and 540.30

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Solution

The fourth proportional to 633.70, 876.90 and 540.30 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.70 : 876.90 = 540.30 : x
  2. Step 2: Convert to fraction form
    633.70/876.90 = 540.30/x
  3. Step 3: Cross multiply
    633.70x = 876.90 × 540.30
  4. Step 4: Simplify right side
    633.70x = 473,784.69
  5. Step 5: Solve for x
    x = 473,784.69/633.70
  6. Step 6: Final answer
    x = 747.65

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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.