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Finding the Fourth Proportional to 658.02, 908.16 and 396.12

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Solution

The fourth proportional to 658.02, 908.16 and 396.12 is: 546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.02 : 908.16 = 396.12 : x
  2. Step 2: Convert to fraction form
    658.02/908.16 = 396.12/x
  3. Step 3: Cross multiply
    658.02x = 908.16 × 396.12
  4. Step 4: Simplify right side
    658.02x = 359,740.34
  5. Step 5: Solve for x
    x = 359,740.34/658.02
  6. Step 6: Final answer
    x = 546.70

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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.