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Finding the Fourth Proportional to 315.36, 433.94 and 241.65

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Solution

The fourth proportional to 315.36, 433.94 and 241.65 is: 332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.36 : 433.94 = 241.65 : x
  2. Step 2: Convert to fraction form
    315.36/433.94 = 241.65/x
  3. Step 3: Cross multiply
    315.36x = 433.94 × 241.65
  4. Step 4: Simplify right side
    315.36x = 104,860.39
  5. Step 5: Solve for x
    x = 104,860.39/315.36
  6. Step 6: Final answer
    x = 332.51

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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.