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Finding the Fourth Proportional to 345.15, 517.73 and 276.35

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Solution

The fourth proportional to 345.15, 517.73 and 276.35 is: 414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 517.73 = 276.35 : x
  2. Step 2: Convert to fraction form
    345.15/517.73 = 276.35/x
  3. Step 3: Cross multiply
    345.15x = 517.73 × 276.35
  4. Step 4: Simplify right side
    345.15x = 143,074.69
  5. Step 5: Solve for x
    x = 143,074.69/345.15
  6. Step 6: Final answer
    x = 414.53

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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.