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Finding the Fourth Proportional to 431.88, 595.99 and 235.39

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Solution

The fourth proportional to 431.88, 595.99 and 235.39 is: 324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 595.99 = 235.39 : x
  2. Step 2: Convert to fraction form
    431.88/595.99 = 235.39/x
  3. Step 3: Cross multiply
    431.88x = 595.99 × 235.39
  4. Step 4: Simplify right side
    431.88x = 140,291.13
  5. Step 5: Solve for x
    x = 140,291.13/431.88
  6. Step 6: Final answer
    x = 324.84

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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.