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Finding the Fourth Proportional to 345.63, 517.66 and 284.14

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Solution

The fourth proportional to 345.63, 517.66 and 284.14 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.63 : 517.66 = 284.14 : x
  2. Step 2: Convert to fraction form
    345.63/517.66 = 284.14/x
  3. Step 3: Cross multiply
    345.63x = 517.66 × 284.14
  4. Step 4: Simplify right side
    345.63x = 147,087.85
  5. Step 5: Solve for x
    x = 147,087.85/345.63
  6. Step 6: Final answer
    x = 425.56

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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.