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Finding the Fourth Proportional to 305.69, 420.52 and 268.18

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Solution

The fourth proportional to 305.69, 420.52 and 268.18 is: 368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.69 : 420.52 = 268.18 : x
  2. Step 2: Convert to fraction form
    305.69/420.52 = 268.18/x
  3. Step 3: Cross multiply
    305.69x = 420.52 × 268.18
  4. Step 4: Simplify right side
    305.69x = 112,775.05
  5. Step 5: Solve for x
    x = 112,775.05/305.69
  6. Step 6: Final answer
    x = 368.92

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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.