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Finding the Fourth Proportional to 475.97, 713.75 and 183.42

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Solution

The fourth proportional to 475.97, 713.75 and 183.42 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 713.75 = 183.42 : x
  2. Step 2: Convert to fraction form
    475.97/713.75 = 183.42/x
  3. Step 3: Cross multiply
    475.97x = 713.75 × 183.42
  4. Step 4: Simplify right side
    475.97x = 130,915.11
  5. Step 5: Solve for x
    x = 130,915.11/475.97
  6. Step 6: Final answer
    x = 275.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.