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Finding the Fourth Proportional to 409.90, 565.07 and 311.49

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Solution

The fourth proportional to 409.90, 565.07 and 311.49 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.90 : 565.07 = 311.49 : x
  2. Step 2: Convert to fraction form
    409.90/565.07 = 311.49/x
  3. Step 3: Cross multiply
    409.90x = 565.07 × 311.49
  4. Step 4: Simplify right side
    409.90x = 176,009.27
  5. Step 5: Solve for x
    x = 176,009.27/409.90
  6. Step 6: Final answer
    x = 429.40

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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.