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Finding the Fourth Proportional to 421.66, 581.89 and 235.14

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Solution

The fourth proportional to 421.66, 581.89 and 235.14 is: 324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.66 : 581.89 = 235.14 : x
  2. Step 2: Convert to fraction form
    421.66/581.89 = 235.14/x
  3. Step 3: Cross multiply
    421.66x = 581.89 × 235.14
  4. Step 4: Simplify right side
    421.66x = 136,825.61
  5. Step 5: Solve for x
    x = 136,825.61/421.66
  6. Step 6: Final answer
    x = 324.49

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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.