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Finding the Fourth Proportional to 409.29, 565.10 and 315.88

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Solution

The fourth proportional to 409.29, 565.10 and 315.88 is: 436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 565.10 = 315.88 : x
  2. Step 2: Convert to fraction form
    409.29/565.10 = 315.88/x
  3. Step 3: Cross multiply
    409.29x = 565.10 × 315.88
  4. Step 4: Simplify right side
    409.29x = 178,501.98
  5. Step 5: Solve for x
    x = 178,501.98/409.29
  6. Step 6: Final answer
    x = 436.13

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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.