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Finding the Fourth Proportional to 409.51, 565.41 and 314.82

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Solution

The fourth proportional to 409.51, 565.41 and 314.82 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.51 : 565.41 = 314.82 : x
  2. Step 2: Convert to fraction form
    409.51/565.41 = 314.82/x
  3. Step 3: Cross multiply
    409.51x = 565.41 × 314.82
  4. Step 4: Simplify right side
    409.51x = 178,002.38
  5. Step 5: Solve for x
    x = 178,002.38/409.51
  6. Step 6: Final answer
    x = 434.67

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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.