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Finding the Fourth Proportional to 477.27, 658.53 and 278.06

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Solution

The fourth proportional to 477.27, 658.53 and 278.06 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.27 : 658.53 = 278.06 : x
  2. Step 2: Convert to fraction form
    477.27/658.53 = 278.06/x
  3. Step 3: Cross multiply
    477.27x = 658.53 × 278.06
  4. Step 4: Simplify right side
    477.27x = 183,107.56
  5. Step 5: Solve for x
    x = 183,107.56/477.27
  6. Step 6: Final answer
    x = 383.66

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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.