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Finding the Fourth Proportional to 658.44, 908.01 and 526.08

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Solution

The fourth proportional to 658.44, 908.01 and 526.08 is: 725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 908.01 = 526.08 : x
  2. Step 2: Convert to fraction form
    658.44/908.01 = 526.08/x
  3. Step 3: Cross multiply
    658.44x = 908.01 × 526.08
  4. Step 4: Simplify right side
    658.44x = 477,685.90
  5. Step 5: Solve for x
    x = 477,685.90/658.44
  6. Step 6: Final answer
    x = 725.48

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Why These Related Problems?

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