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Finding the Fourth Proportional to 409.38, 564.48 and 315.96

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Solution

The fourth proportional to 409.38, 564.48 and 315.96 is: 435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 564.48 = 315.96 : x
  2. Step 2: Convert to fraction form
    409.38/564.48 = 315.96/x
  3. Step 3: Cross multiply
    409.38x = 564.48 × 315.96
  4. Step 4: Simplify right side
    409.38x = 178,353.10
  5. Step 5: Solve for x
    x = 178,353.10/409.38
  6. Step 6: Final answer
    x = 435.67

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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.