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Finding the Fourth Proportional to 475.31, 655.89 and 265.47

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Solution

The fourth proportional to 475.31, 655.89 and 265.47 is: 366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 655.89 = 265.47 : x
  2. Step 2: Convert to fraction form
    475.31/655.89 = 265.47/x
  3. Step 3: Cross multiply
    475.31x = 655.89 × 265.47
  4. Step 4: Simplify right side
    475.31x = 174,119.12
  5. Step 5: Solve for x
    x = 174,119.12/475.31
  6. Step 6: Final answer
    x = 366.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.