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Finding the Fourth Proportional to 429.90, 593.55 and 282.78

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Solution

The fourth proportional to 429.90, 593.55 and 282.78 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 593.55 = 282.78 : x
  2. Step 2: Convert to fraction form
    429.90/593.55 = 282.78/x
  3. Step 3: Cross multiply
    429.90x = 593.55 × 282.78
  4. Step 4: Simplify right side
    429.90x = 167,844.07
  5. Step 5: Solve for x
    x = 167,844.07/429.90
  6. Step 6: Final answer
    x = 390.43

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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.