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Finding the Fourth Proportional to 301.17, 414.61 and 259.50

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Solution

The fourth proportional to 301.17, 414.61 and 259.50 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.17 : 414.61 = 259.50 : x
  2. Step 2: Convert to fraction form
    301.17/414.61 = 259.50/x
  3. Step 3: Cross multiply
    301.17x = 414.61 × 259.50
  4. Step 4: Simplify right side
    301.17x = 107,591.30
  5. Step 5: Solve for x
    x = 107,591.30/301.17
  6. Step 6: Final answer
    x = 357.24

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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.