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Finding the Fourth Proportional to 345.73, 517.78 and 287.95

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Solution

The fourth proportional to 345.73, 517.78 and 287.95 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.73 : 517.78 = 287.95 : x
  2. Step 2: Convert to fraction form
    345.73/517.78 = 287.95/x
  3. Step 3: Cross multiply
    345.73x = 517.78 × 287.95
  4. Step 4: Simplify right side
    345.73x = 149,094.75
  5. Step 5: Solve for x
    x = 149,094.75/345.73
  6. Step 6: Final answer
    x = 431.25

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Why These Related Problems?

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