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Finding the Fourth Proportional to 354.11, 488.36 and 259.47

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Solution

The fourth proportional to 354.11, 488.36 and 259.47 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 488.36 = 259.47 : x
  2. Step 2: Convert to fraction form
    354.11/488.36 = 259.47/x
  3. Step 3: Cross multiply
    354.11x = 488.36 × 259.47
  4. Step 4: Simplify right side
    354.11x = 126,715.42
  5. Step 5: Solve for x
    x = 126,715.42/354.11
  6. Step 6: Final answer
    x = 357.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.