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Finding the Fourth Proportional to 658.68, 907.98 and 448.44

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Solution

The fourth proportional to 658.68, 907.98 and 448.44 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 907.98 = 448.44 : x
  2. Step 2: Convert to fraction form
    658.68/907.98 = 448.44/x
  3. Step 3: Cross multiply
    658.68x = 907.98 × 448.44
  4. Step 4: Simplify right side
    658.68x = 407,174.55
  5. Step 5: Solve for x
    x = 407,174.55/658.68
  6. Step 6: Final answer
    x = 618.17

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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.