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Finding the Fourth Proportional to 650.66, 975.17 and 418.93

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Solution

The fourth proportional to 650.66, 975.17 and 418.93 is: 627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 975.17 = 418.93 : x
  2. Step 2: Convert to fraction form
    650.66/975.17 = 418.93/x
  3. Step 3: Cross multiply
    650.66x = 975.17 × 418.93
  4. Step 4: Simplify right side
    650.66x = 408,526.58
  5. Step 5: Solve for x
    x = 408,526.58/650.66
  6. Step 6: Final answer
    x = 627.87

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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.