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Finding the Fourth Proportional to 409.06, 564.50 and 310.64

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Solution

The fourth proportional to 409.06, 564.50 and 310.64 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 564.50 = 310.64 : x
  2. Step 2: Convert to fraction form
    409.06/564.50 = 310.64/x
  3. Step 3: Cross multiply
    409.06x = 564.50 × 310.64
  4. Step 4: Simplify right side
    409.06x = 175,356.28
  5. Step 5: Solve for x
    x = 175,356.28/409.06
  6. Step 6: Final answer
    x = 428.68

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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.