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Finding the Fourth Proportional to 477.23, 658.50 and 267.37

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Solution

The fourth proportional to 477.23, 658.50 and 267.37 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 658.50 = 267.37 : x
  2. Step 2: Convert to fraction form
    477.23/658.50 = 267.37/x
  3. Step 3: Cross multiply
    477.23x = 658.50 × 267.37
  4. Step 4: Simplify right side
    477.23x = 176,060.50
  5. Step 5: Solve for x
    x = 176,060.50/477.23
  6. Step 6: Final answer
    x = 368.93

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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.