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Finding the Fourth Proportional to 478.06, 659.61 and 271.06

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Solution

The fourth proportional to 478.06, 659.61 and 271.06 is: 374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.06 : 659.61 = 271.06 : x
  2. Step 2: Convert to fraction form
    478.06/659.61 = 271.06/x
  3. Step 3: Cross multiply
    478.06x = 659.61 × 271.06
  4. Step 4: Simplify right side
    478.06x = 178,793.89
  5. Step 5: Solve for x
    x = 178,793.89/478.06
  6. Step 6: Final answer
    x = 374.00

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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.