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Finding the Fourth Proportional to 431.06, 594.88 and 234.59

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Solution

The fourth proportional to 431.06, 594.88 and 234.59 is: 323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.88 = 234.59 : x
  2. Step 2: Convert to fraction form
    431.06/594.88 = 234.59/x
  3. Step 3: Cross multiply
    431.06x = 594.88 × 234.59
  4. Step 4: Simplify right side
    431.06x = 139,549.34
  5. Step 5: Solve for x
    x = 139,549.34/431.06
  6. Step 6: Final answer
    x = 323.74

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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.