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Finding the Fourth Proportional to 409.07, 564.23 and 315.75

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Solution

The fourth proportional to 409.07, 564.23 and 315.75 is: 435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 564.23 = 315.75 : x
  2. Step 2: Convert to fraction form
    409.07/564.23 = 315.75/x
  3. Step 3: Cross multiply
    409.07x = 564.23 × 315.75
  4. Step 4: Simplify right side
    409.07x = 178,155.62
  5. Step 5: Solve for x
    x = 178,155.62/409.07
  6. Step 6: Final answer
    x = 435.51

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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.