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Finding the Fourth Proportional to 306.53, 424.11 and 259.76

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Solution

The fourth proportional to 306.53, 424.11 and 259.76 is: 359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.53 : 424.11 = 259.76 : x
  2. Step 2: Convert to fraction form
    306.53/424.11 = 259.76/x
  3. Step 3: Cross multiply
    306.53x = 424.11 × 259.76
  4. Step 4: Simplify right side
    306.53x = 110,165.73
  5. Step 5: Solve for x
    x = 110,165.73/306.53
  6. Step 6: Final answer
    x = 359.39

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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.