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Finding the Fourth Proportional to 477.53, 658.83 and 278.27

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Solution

The fourth proportional to 477.53, 658.83 and 278.27 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.53 : 658.83 = 278.27 : x
  2. Step 2: Convert to fraction form
    477.53/658.83 = 278.27/x
  3. Step 3: Cross multiply
    477.53x = 658.83 × 278.27
  4. Step 4: Simplify right side
    477.53x = 183,329.33
  5. Step 5: Solve for x
    x = 183,329.33/477.53
  6. Step 6: Final answer
    x = 383.92

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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.