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Finding the Fourth Proportional to 633.72, 952.75 and 498.40

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Solution

The fourth proportional to 633.72, 952.75 and 498.40 is: 749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 952.75 = 498.40 : x
  2. Step 2: Convert to fraction form
    633.72/952.75 = 498.40/x
  3. Step 3: Cross multiply
    633.72x = 952.75 × 498.40
  4. Step 4: Simplify right side
    633.72x = 474,850.60
  5. Step 5: Solve for x
    x = 474,850.60/633.72
  6. Step 6: Final answer
    x = 749.31

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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.