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Finding the Fourth Proportional to 458.95, 633.34 and 269.95

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Solution

The fourth proportional to 458.95, 633.34 and 269.95 is: 372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.95 : 633.34 = 269.95 : x
  2. Step 2: Convert to fraction form
    458.95/633.34 = 269.95/x
  3. Step 3: Cross multiply
    458.95x = 633.34 × 269.95
  4. Step 4: Simplify right side
    458.95x = 170,965.62
  5. Step 5: Solve for x
    x = 170,965.62/458.95
  6. Step 6: Final answer
    x = 372.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.