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Finding the Fourth Proportional to 305.80, 419.97 and 256.59

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Solution

The fourth proportional to 305.80, 419.97 and 256.59 is: 352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 419.97 = 256.59 : x
  2. Step 2: Convert to fraction form
    305.80/419.97 = 256.59/x
  3. Step 3: Cross multiply
    305.80x = 419.97 × 256.59
  4. Step 4: Simplify right side
    305.80x = 107,758.82
  5. Step 5: Solve for x
    x = 107,758.82/305.80
  6. Step 6: Final answer
    x = 352.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.