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Finding the Fourth Proportional to 477.78, 659.33 and 278.66

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Solution

The fourth proportional to 477.78, 659.33 and 278.66 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.78 : 659.33 = 278.66 : x
  2. Step 2: Convert to fraction form
    477.78/659.33 = 278.66/x
  3. Step 3: Cross multiply
    477.78x = 659.33 × 278.66
  4. Step 4: Simplify right side
    477.78x = 183,724.21
  5. Step 5: Solve for x
    x = 183,724.21/477.78
  6. Step 6: Final answer
    x = 384.54

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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.