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Finding the Fourth Proportional to 305.84, 422 and 259.14

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Solution

The fourth proportional to 305.84, 422 and 259.14 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 422 = 259.14 : x
  2. Step 2: Convert to fraction form
    305.84/422 = 259.14/x
  3. Step 3: Cross multiply
    305.84x = 422 × 259.14
  4. Step 4: Simplify right side
    305.84x = 109,357.08
  5. Step 5: Solve for x
    x = 109,357.08/305.84
  6. Step 6: Final answer
    x = 357.56

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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.