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Finding the Fourth Proportional to 345.76, 518.90 and 282.04

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Solution

The fourth proportional to 345.76, 518.90 and 282.04 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 518.90 = 282.04 : x
  2. Step 2: Convert to fraction form
    345.76/518.90 = 282.04/x
  3. Step 3: Cross multiply
    345.76x = 518.90 × 282.04
  4. Step 4: Simplify right side
    345.76x = 146,350.56
  5. Step 5: Solve for x
    x = 146,350.56/345.76
  6. Step 6: Final answer
    x = 423.27

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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.