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Finding the Fourth Proportional to 475.12, 655.71 and 288.60

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Solution

The fourth proportional to 475.12, 655.71 and 288.60 is: 398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.12 : 655.71 = 288.60 : x
  2. Step 2: Convert to fraction form
    475.12/655.71 = 288.60/x
  3. Step 3: Cross multiply
    475.12x = 655.71 × 288.60
  4. Step 4: Simplify right side
    475.12x = 189,235.35
  5. Step 5: Solve for x
    x = 189,235.35/475.12
  6. Step 6: Final answer
    x = 398.29

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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.