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Finding the Fourth Proportional to 342.36, 468.68 and 341.22

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Solution

The fourth proportional to 342.36, 468.68 and 341.22 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 468.68 = 341.22 : x
  2. Step 2: Convert to fraction form
    342.36/468.68 = 341.22/x
  3. Step 3: Cross multiply
    342.36x = 468.68 × 341.22
  4. Step 4: Simplify right side
    342.36x = 159,921.28
  5. Step 5: Solve for x
    x = 159,921.28/342.36
  6. Step 6: Final answer
    x = 467.11

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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.