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Finding the Fourth Proportional to 431.41, 595.34 and 234.91

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Solution

The fourth proportional to 431.41, 595.34 and 234.91 is: 324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.41 : 595.34 = 234.91 : x
  2. Step 2: Convert to fraction form
    431.41/595.34 = 234.91/x
  3. Step 3: Cross multiply
    431.41x = 595.34 × 234.91
  4. Step 4: Simplify right side
    431.41x = 139,847.17
  5. Step 5: Solve for x
    x = 139,847.17/431.41
  6. Step 6: Final answer
    x = 324.17

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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.