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Finding the Fourth Proportional to 477.01, 658.23 and 264.31

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Solution

The fourth proportional to 477.01, 658.23 and 264.31 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.01 : 658.23 = 264.31 : x
  2. Step 2: Convert to fraction form
    477.01/658.23 = 264.31/x
  3. Step 3: Cross multiply
    477.01x = 658.23 × 264.31
  4. Step 4: Simplify right side
    477.01x = 173,976.77
  5. Step 5: Solve for x
    x = 173,976.77/477.01
  6. Step 6: Final answer
    x = 364.72

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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.