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Finding the Fourth Proportional to 421.42, 581.53 and 234.90

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Solution

The fourth proportional to 421.42, 581.53 and 234.90 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.42 : 581.53 = 234.90 : x
  2. Step 2: Convert to fraction form
    421.42/581.53 = 234.90/x
  3. Step 3: Cross multiply
    421.42x = 581.53 × 234.90
  4. Step 4: Simplify right side
    421.42x = 136,598.49
  5. Step 5: Solve for x
    x = 136,598.49/421.42
  6. Step 6: Final answer
    x = 324.14

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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.