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Finding the Fourth Proportional to 314.92, 434.64 and 241.48

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Solution

The fourth proportional to 314.92, 434.64 and 241.48 is: 333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 434.64 = 241.48 : x
  2. Step 2: Convert to fraction form
    314.92/434.64 = 241.48/x
  3. Step 3: Cross multiply
    314.92x = 434.64 × 241.48
  4. Step 4: Simplify right side
    314.92x = 104,956.87
  5. Step 5: Solve for x
    x = 104,956.87/314.92
  6. Step 6: Final answer
    x = 333.28

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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.