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Finding the Fourth Proportional to 475.80, 655.38 and 402.06

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Solution

The fourth proportional to 475.80, 655.38 and 402.06 is: 553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 655.38 = 402.06 : x
  2. Step 2: Convert to fraction form
    475.80/655.38 = 402.06/x
  3. Step 3: Cross multiply
    475.80x = 655.38 × 402.06
  4. Step 4: Simplify right side
    475.80x = 263,502.08
  5. Step 5: Solve for x
    x = 263,502.08/475.80
  6. Step 6: Final answer
    x = 553.81

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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.