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Finding the Fourth Proportional to 427.61, 590.10 and 231.12

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Solution

The fourth proportional to 427.61, 590.10 and 231.12 is: 318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.61 : 590.10 = 231.12 : x
  2. Step 2: Convert to fraction form
    427.61/590.10 = 231.12/x
  3. Step 3: Cross multiply
    427.61x = 590.10 × 231.12
  4. Step 4: Simplify right side
    427.61x = 136,381.39
  5. Step 5: Solve for x
    x = 136,381.39/427.61
  6. Step 6: Final answer
    x = 318.94

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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.