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Finding the Fourth Proportional to 634.77, 950.87 and 497.16

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Solution

The fourth proportional to 634.77, 950.87 and 497.16 is: 744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.77 : 950.87 = 497.16 : x
  2. Step 2: Convert to fraction form
    634.77/950.87 = 497.16/x
  3. Step 3: Cross multiply
    634.77x = 950.87 × 497.16
  4. Step 4: Simplify right side
    634.77x = 472,735.77
  5. Step 5: Solve for x
    x = 472,735.77/634.77
  6. Step 6: Final answer
    x = 744.74

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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.