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Finding the Fourth Proportional to 633.48, 874.28 and 353.76

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Solution

The fourth proportional to 633.48, 874.28 and 353.76 is: 488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 874.28 = 353.76 : x
  2. Step 2: Convert to fraction form
    633.48/874.28 = 353.76/x
  3. Step 3: Cross multiply
    633.48x = 874.28 × 353.76
  4. Step 4: Simplify right side
    633.48x = 309,285.29
  5. Step 5: Solve for x
    x = 309,285.29/633.48
  6. Step 6: Final answer
    x = 488.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.