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Finding the Fourth Proportional to 477.18, 658.47 and 278.02

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Solution

The fourth proportional to 477.18, 658.47 and 278.02 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 658.47 = 278.02 : x
  2. Step 2: Convert to fraction form
    477.18/658.47 = 278.02/x
  3. Step 3: Cross multiply
    477.18x = 658.47 × 278.02
  4. Step 4: Simplify right side
    477.18x = 183,067.83
  5. Step 5: Solve for x
    x = 183,067.83/477.18
  6. Step 6: Final answer
    x = 383.65

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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.