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Finding the Fourth Proportional to 341.07, 467.85 and 338.15

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Solution

The fourth proportional to 341.07, 467.85 and 338.15 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 467.85 = 338.15 : x
  2. Step 2: Convert to fraction form
    341.07/467.85 = 338.15/x
  3. Step 3: Cross multiply
    341.07x = 467.85 × 338.15
  4. Step 4: Simplify right side
    341.07x = 158,203.48
  5. Step 5: Solve for x
    x = 158,203.48/341.07
  6. Step 6: Final answer
    x = 463.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.