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Finding the Fourth Proportional to 478.22, 659.78 and 278.96

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Solution

The fourth proportional to 478.22, 659.78 and 278.96 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.22 : 659.78 = 278.96 : x
  2. Step 2: Convert to fraction form
    478.22/659.78 = 278.96/x
  3. Step 3: Cross multiply
    478.22x = 659.78 × 278.96
  4. Step 4: Simplify right side
    478.22x = 184,052.23
  5. Step 5: Solve for x
    x = 184,052.23/478.22
  6. Step 6: Final answer
    x = 384.87

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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.