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Finding the Fourth Proportional to 429.88, 593.16 and 255.16

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Solution

The fourth proportional to 429.88, 593.16 and 255.16 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.88 : 593.16 = 255.16 : x
  2. Step 2: Convert to fraction form
    429.88/593.16 = 255.16/x
  3. Step 3: Cross multiply
    429.88x = 593.16 × 255.16
  4. Step 4: Simplify right side
    429.88x = 151,350.71
  5. Step 5: Solve for x
    x = 151,350.71/429.88
  6. Step 6: Final answer
    x = 352.08

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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.