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Finding the Fourth Proportional to 409.72, 565.40 and 230.26

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Solution

The fourth proportional to 409.72, 565.40 and 230.26 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 565.40 = 230.26 : x
  2. Step 2: Convert to fraction form
    409.72/565.40 = 230.26/x
  3. Step 3: Cross multiply
    409.72x = 565.40 × 230.26
  4. Step 4: Simplify right side
    409.72x = 130,189.00
  5. Step 5: Solve for x
    x = 130,189.00/409.72
  6. Step 6: Final answer
    x = 317.75

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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.