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Finding the Fourth Proportional to 477.77, 659.24 and 278.61

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Solution

The fourth proportional to 477.77, 659.24 and 278.61 is: 384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 659.24 = 278.61 : x
  2. Step 2: Convert to fraction form
    477.77/659.24 = 278.61/x
  3. Step 3: Cross multiply
    477.77x = 659.24 × 278.61
  4. Step 4: Simplify right side
    477.77x = 183,668.04
  5. Step 5: Solve for x
    x = 183,668.04/477.77
  6. Step 6: Final answer
    x = 384.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.