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Finding the Fourth Proportional to 658.14, 984.77 and 541.50

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Solution

The fourth proportional to 658.14, 984.77 and 541.50 is: 810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 984.77 = 541.50 : x
  2. Step 2: Convert to fraction form
    658.14/984.77 = 541.50/x
  3. Step 3: Cross multiply
    658.14x = 984.77 × 541.50
  4. Step 4: Simplify right side
    658.14x = 533,250.62
  5. Step 5: Solve for x
    x = 533,250.62/658.14
  6. Step 6: Final answer
    x = 810.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.