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Finding the Fourth Proportional to 658.56, 907.89 and 448.41

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Solution

The fourth proportional to 658.56, 907.89 and 448.41 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.56 : 907.89 = 448.41 : x
  2. Step 2: Convert to fraction form
    658.56/907.89 = 448.41/x
  3. Step 3: Cross multiply
    658.56x = 907.89 × 448.41
  4. Step 4: Simplify right side
    658.56x = 407,106.95
  5. Step 5: Solve for x
    x = 407,106.95/658.56
  6. Step 6: Final answer
    x = 618.18

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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.