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Finding the Fourth Proportional to 393.42, 542.40 and 305.04

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Solution

The fourth proportional to 393.42, 542.40 and 305.04 is: 420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.42 : 542.40 = 305.04 : x
  2. Step 2: Convert to fraction form
    393.42/542.40 = 305.04/x
  3. Step 3: Cross multiply
    393.42x = 542.40 × 305.04
  4. Step 4: Simplify right side
    393.42x = 165,453.70
  5. Step 5: Solve for x
    x = 165,453.70/393.42
  6. Step 6: Final answer
    x = 420.55

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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.