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Finding the Fourth Proportional to 409.31, 564.63 and 310.89

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Solution

The fourth proportional to 409.31, 564.63 and 310.89 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.63 = 310.89 : x
  2. Step 2: Convert to fraction form
    409.31/564.63 = 310.89/x
  3. Step 3: Cross multiply
    409.31x = 564.63 × 310.89
  4. Step 4: Simplify right side
    409.31x = 175,537.82
  5. Step 5: Solve for x
    x = 175,537.82/409.31
  6. Step 6: Final answer
    x = 428.86

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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.