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Finding the Fourth Proportional to 345.52, 517.62 and 272.05

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Solution

The fourth proportional to 345.52, 517.62 and 272.05 is: 407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 517.62 = 272.05 : x
  2. Step 2: Convert to fraction form
    345.52/517.62 = 272.05/x
  3. Step 3: Cross multiply
    345.52x = 517.62 × 272.05
  4. Step 4: Simplify right side
    345.52x = 140,818.52
  5. Step 5: Solve for x
    x = 140,818.52/345.52
  6. Step 6: Final answer
    x = 407.56

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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.