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Finding the Fourth Proportional to 475.52, 655.96 and 288.90

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Solution

The fourth proportional to 475.52, 655.96 and 288.90 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.52 : 655.96 = 288.90 : x
  2. Step 2: Convert to fraction form
    475.52/655.96 = 288.90/x
  3. Step 3: Cross multiply
    475.52x = 655.96 × 288.90
  4. Step 4: Simplify right side
    475.52x = 189,506.84
  5. Step 5: Solve for x
    x = 189,506.84/475.52
  6. Step 6: Final answer
    x = 398.53

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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.