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Finding the Fourth Proportional to 429.62, 593.12 and 282.51

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Solution

The fourth proportional to 429.62, 593.12 and 282.51 is: 390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 593.12 = 282.51 : x
  2. Step 2: Convert to fraction form
    429.62/593.12 = 282.51/x
  3. Step 3: Cross multiply
    429.62x = 593.12 × 282.51
  4. Step 4: Simplify right side
    429.62x = 167,562.33
  5. Step 5: Solve for x
    x = 167,562.33/429.62
  6. Step 6: Final answer
    x = 390.02

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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.