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Finding the Fourth Proportional to 408.40, 564.10 and 310.59

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Solution

The fourth proportional to 408.40, 564.10 and 310.59 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.40 : 564.10 = 310.59 : x
  2. Step 2: Convert to fraction form
    408.40/564.10 = 310.59/x
  3. Step 3: Cross multiply
    408.40x = 564.10 × 310.59
  4. Step 4: Simplify right side
    408.40x = 175,203.04
  5. Step 5: Solve for x
    x = 175,203.04/408.40
  6. Step 6: Final answer
    x = 429.00

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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.