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Finding the Fourth Proportional to 538.20, 808.05 and 344.40

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Solution

The fourth proportional to 538.20, 808.05 and 344.40 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 808.05 = 344.40 : x
  2. Step 2: Convert to fraction form
    538.20/808.05 = 344.40/x
  3. Step 3: Cross multiply
    538.20x = 808.05 × 344.40
  4. Step 4: Simplify right side
    538.20x = 278,292.42
  5. Step 5: Solve for x
    x = 278,292.42/538.20
  6. Step 6: Final answer
    x = 517.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.