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Finding the Fourth Proportional to 658.29, 907.86 and 448.80

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Solution

The fourth proportional to 658.29, 907.86 and 448.80 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.29 : 907.86 = 448.80 : x
  2. Step 2: Convert to fraction form
    658.29/907.86 = 448.80/x
  3. Step 3: Cross multiply
    658.29x = 907.86 × 448.80
  4. Step 4: Simplify right side
    658.29x = 407,447.59
  5. Step 5: Solve for x
    x = 407,447.59/658.29
  6. Step 6: Final answer
    x = 618.95

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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.