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Finding the Fourth Proportional to 387.49, 581.51 and 241.46

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Solution

The fourth proportional to 387.49, 581.51 and 241.46 is: 362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.49 : 581.51 = 241.46 : x
  2. Step 2: Convert to fraction form
    387.49/581.51 = 241.46/x
  3. Step 3: Cross multiply
    387.49x = 581.51 × 241.46
  4. Step 4: Simplify right side
    387.49x = 140,409.10
  5. Step 5: Solve for x
    x = 140,409.10/387.49
  6. Step 6: Final answer
    x = 362.36

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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.