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Finding the Fourth Proportional to 421.35, 581.51 and 234.89

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Solution

The fourth proportional to 421.35, 581.51 and 234.89 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.35 : 581.51 = 234.89 : x
  2. Step 2: Convert to fraction form
    421.35/581.51 = 234.89/x
  3. Step 3: Cross multiply
    421.35x = 581.51 × 234.89
  4. Step 4: Simplify right side
    421.35x = 136,586.80
  5. Step 5: Solve for x
    x = 136,586.80/421.35
  6. Step 6: Final answer
    x = 324.16

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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.