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Finding the Fourth Proportional to 345.36, 517.64 and 242.09

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Solution

The fourth proportional to 345.36, 517.64 and 242.09 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 517.64 = 242.09 : x
  2. Step 2: Convert to fraction form
    345.36/517.64 = 242.09/x
  3. Step 3: Cross multiply
    345.36x = 517.64 × 242.09
  4. Step 4: Simplify right side
    345.36x = 125,314.97
  5. Step 5: Solve for x
    x = 125,314.97/345.36
  6. Step 6: Final answer
    x = 362.85

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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.