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Finding the Fourth Proportional to 429.87, 593.07 and 282.59

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Solution

The fourth proportional to 429.87, 593.07 and 282.59 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.87 : 593.07 = 282.59 : x
  2. Step 2: Convert to fraction form
    429.87/593.07 = 282.59/x
  3. Step 3: Cross multiply
    429.87x = 593.07 × 282.59
  4. Step 4: Simplify right side
    429.87x = 167,595.65
  5. Step 5: Solve for x
    x = 167,595.65/429.87
  6. Step 6: Final answer
    x = 389.88

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Why These Related Problems?

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