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Finding the Fourth Proportional to 341.94, 468.54 and 338.76

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Solution

The fourth proportional to 341.94, 468.54 and 338.76 is: 464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 468.54 = 338.76 : x
  2. Step 2: Convert to fraction form
    341.94/468.54 = 338.76/x
  3. Step 3: Cross multiply
    341.94x = 468.54 × 338.76
  4. Step 4: Simplify right side
    341.94x = 158,722.61
  5. Step 5: Solve for x
    x = 158,722.61/341.94
  6. Step 6: Final answer
    x = 464.18

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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.