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Finding the Fourth Proportional to 475.65, 713.59 and 280.81

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Solution

The fourth proportional to 475.65, 713.59 and 280.81 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.65 : 713.59 = 280.81 : x
  2. Step 2: Convert to fraction form
    475.65/713.59 = 280.81/x
  3. Step 3: Cross multiply
    475.65x = 713.59 × 280.81
  4. Step 4: Simplify right side
    475.65x = 200,378.24
  5. Step 5: Solve for x
    x = 200,378.24/475.65
  6. Step 6: Final answer
    x = 421.28

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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.