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Finding the Fourth Proportional to 475.65, 713.53 and 183.14

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Solution

The fourth proportional to 475.65, 713.53 and 183.14 is: 274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.65 : 713.53 = 183.14 : x
  2. Step 2: Convert to fraction form
    475.65/713.53 = 183.14/x
  3. Step 3: Cross multiply
    475.65x = 713.53 × 183.14
  4. Step 4: Simplify right side
    475.65x = 130,675.88
  5. Step 5: Solve for x
    x = 130,675.88/475.65
  6. Step 6: Final answer
    x = 274.73

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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.