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Finding the Fourth Proportional to 393.09, 543.01 and 314.92

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Solution

The fourth proportional to 393.09, 543.01 and 314.92 is: 435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.09 : 543.01 = 314.92 : x
  2. Step 2: Convert to fraction form
    393.09/543.01 = 314.92/x
  3. Step 3: Cross multiply
    393.09x = 543.01 × 314.92
  4. Step 4: Simplify right side
    393.09x = 171,004.71
  5. Step 5: Solve for x
    x = 171,004.71/393.09
  6. Step 6: Final answer
    x = 435.03

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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.