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Finding the Fourth Proportional to 633.37, 950.46 and 417.10

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Solution

The fourth proportional to 633.37, 950.46 and 417.10 is: 625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.37 : 950.46 = 417.10 : x
  2. Step 2: Convert to fraction form
    633.37/950.46 = 417.10/x
  3. Step 3: Cross multiply
    633.37x = 950.46 × 417.10
  4. Step 4: Simplify right side
    633.37x = 396,436.87
  5. Step 5: Solve for x
    x = 396,436.87/633.37
  6. Step 6: Final answer
    x = 625.92

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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.