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Finding the Fourth Proportional to 658.04, 907.44 and 396.08

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Solution

The fourth proportional to 658.04, 907.44 and 396.08 is: 546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 907.44 = 396.08 : x
  2. Step 2: Convert to fraction form
    658.04/907.44 = 396.08/x
  3. Step 3: Cross multiply
    658.04x = 907.44 × 396.08
  4. Step 4: Simplify right side
    658.04x = 359,418.84
  5. Step 5: Solve for x
    x = 359,418.84/658.04
  6. Step 6: Final answer
    x = 546.20

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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.