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Finding the Fourth Proportional to 417.95, 625.63 and 308.39

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Solution

The fourth proportional to 417.95, 625.63 and 308.39 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.95 : 625.63 = 308.39 : x
  2. Step 2: Convert to fraction form
    417.95/625.63 = 308.39/x
  3. Step 3: Cross multiply
    417.95x = 625.63 × 308.39
  4. Step 4: Simplify right side
    417.95x = 192,939.47
  5. Step 5: Solve for x
    x = 192,939.47/417.95
  6. Step 6: Final answer
    x = 461.63

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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.