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Finding the Fourth Proportional to 477.87, 659.49 and 278.69

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Solution

The fourth proportional to 477.87, 659.49 and 278.69 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 659.49 = 278.69 : x
  2. Step 2: Convert to fraction form
    477.87/659.49 = 278.69/x
  3. Step 3: Cross multiply
    477.87x = 659.49 × 278.69
  4. Step 4: Simplify right side
    477.87x = 183,794.20
  5. Step 5: Solve for x
    x = 183,794.20/477.87
  6. Step 6: Final answer
    x = 384.61

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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.