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Finding the Fourth Proportional to 477.08, 658.34 and 267.26

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Solution

The fourth proportional to 477.08, 658.34 and 267.26 is: 368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.08 : 658.34 = 267.26 : x
  2. Step 2: Convert to fraction form
    477.08/658.34 = 267.26/x
  3. Step 3: Cross multiply
    477.08x = 658.34 × 267.26
  4. Step 4: Simplify right side
    477.08x = 175,947.95
  5. Step 5: Solve for x
    x = 175,947.95/477.08
  6. Step 6: Final answer
    x = 368.80

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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.