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Finding the Fourth Proportional to 658.45, 908.11 and 493.05

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Solution

The fourth proportional to 658.45, 908.11 and 493.05 is: 680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.45 : 908.11 = 493.05 : x
  2. Step 2: Convert to fraction form
    658.45/908.11 = 493.05/x
  3. Step 3: Cross multiply
    658.45x = 908.11 × 493.05
  4. Step 4: Simplify right side
    658.45x = 447,741.17
  5. Step 5: Solve for x
    x = 447,741.17/658.45
  6. Step 6: Final answer
    x = 680.00

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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.