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Finding the Fourth Proportional to 633.12, 949.44 and 497.76

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Solution

The fourth proportional to 633.12, 949.44 and 497.76 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.12 : 949.44 = 497.76 : x
  2. Step 2: Convert to fraction form
    633.12/949.44 = 497.76/x
  3. Step 3: Cross multiply
    633.12x = 949.44 × 497.76
  4. Step 4: Simplify right side
    633.12x = 472,593.25
  5. Step 5: Solve for x
    x = 472,593.25/633.12
  6. Step 6: Final answer
    x = 746.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.