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Finding the Fourth Proportional to 309.84, 465.12 and 241.44

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Solution

The fourth proportional to 309.84, 465.12 and 241.44 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 465.12 = 241.44 : x
  2. Step 2: Convert to fraction form
    309.84/465.12 = 241.44/x
  3. Step 3: Cross multiply
    309.84x = 465.12 × 241.44
  4. Step 4: Simplify right side
    309.84x = 112,298.57
  5. Step 5: Solve for x
    x = 112,298.57/309.84
  6. Step 6: Final answer
    x = 362.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.