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Finding the Fourth Proportional to 658.26, 907.94 and 448.31

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Solution

The fourth proportional to 658.26, 907.94 and 448.31 is: 618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.26 : 907.94 = 448.31 : x
  2. Step 2: Convert to fraction form
    658.26/907.94 = 448.31/x
  3. Step 3: Cross multiply
    658.26x = 907.94 × 448.31
  4. Step 4: Simplify right side
    658.26x = 407,031.80
  5. Step 5: Solve for x
    x = 407,031.80/658.26
  6. Step 6: Final answer
    x = 618.35

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