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Finding the Fourth Proportional to 421.32, 581.40 and 234.80

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Solution

The fourth proportional to 421.32, 581.40 and 234.80 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 581.40 = 234.80 : x
  2. Step 2: Convert to fraction form
    421.32/581.40 = 234.80/x
  3. Step 3: Cross multiply
    421.32x = 581.40 × 234.80
  4. Step 4: Simplify right side
    421.32x = 136,514.17
  5. Step 5: Solve for x
    x = 136,514.17/421.32
  6. Step 6: Final answer
    x = 324.02

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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.