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Finding the Fourth Proportional to 393.46, 543.05 and 315.29

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Solution

The fourth proportional to 393.46, 543.05 and 315.29 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.46 : 543.05 = 315.29 : x
  2. Step 2: Convert to fraction form
    393.46/543.05 = 315.29/x
  3. Step 3: Cross multiply
    393.46x = 543.05 × 315.29
  4. Step 4: Simplify right side
    393.46x = 171,220.97
  5. Step 5: Solve for x
    x = 171,220.97/393.46
  6. Step 6: Final answer
    x = 435.17

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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.