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Finding the Fourth Proportional to 477.08, 658.64 and 329.94

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Solution

The fourth proportional to 477.08, 658.64 and 329.94 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.08 : 658.64 = 329.94 : x
  2. Step 2: Convert to fraction form
    477.08/658.64 = 329.94/x
  3. Step 3: Cross multiply
    477.08x = 658.64 × 329.94
  4. Step 4: Simplify right side
    477.08x = 217,311.68
  5. Step 5: Solve for x
    x = 217,311.68/477.08
  6. Step 6: Final answer
    x = 455.50

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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.