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Finding the Fourth Proportional to 409.70, 565.65 and 322.10

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Solution

The fourth proportional to 409.70, 565.65 and 322.10 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 565.65 = 322.10 : x
  2. Step 2: Convert to fraction form
    409.70/565.65 = 322.10/x
  3. Step 3: Cross multiply
    409.70x = 565.65 × 322.10
  4. Step 4: Simplify right side
    409.70x = 182,195.87
  5. Step 5: Solve for x
    x = 182,195.87/409.70
  6. Step 6: Final answer
    x = 444.71

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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.