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Finding the Fourth Proportional to 420.42, 580.14 and 233.89

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Solution

The fourth proportional to 420.42, 580.14 and 233.89 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.42 : 580.14 = 233.89 : x
  2. Step 2: Convert to fraction form
    420.42/580.14 = 233.89/x
  3. Step 3: Cross multiply
    420.42x = 580.14 × 233.89
  4. Step 4: Simplify right side
    420.42x = 135,689.67
  5. Step 5: Solve for x
    x = 135,689.67/420.42
  6. Step 6: Final answer
    x = 322.75

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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.