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Finding the Fourth Proportional to 307.46, 424.08 and 241.85

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Solution

The fourth proportional to 307.46, 424.08 and 241.85 is: 333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 424.08 = 241.85 : x
  2. Step 2: Convert to fraction form
    307.46/424.08 = 241.85/x
  3. Step 3: Cross multiply
    307.46x = 424.08 × 241.85
  4. Step 4: Simplify right side
    307.46x = 102,561.63
  5. Step 5: Solve for x
    x = 102,561.63/307.46
  6. Step 6: Final answer
    x = 333.58

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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.