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Finding the Fourth Proportional to 342.33, 468.69 and 338.99

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Solution

The fourth proportional to 342.33, 468.69 and 338.99 is: 464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.33 : 468.69 = 338.99 : x
  2. Step 2: Convert to fraction form
    342.33/468.69 = 338.99/x
  3. Step 3: Cross multiply
    342.33x = 468.69 × 338.99
  4. Step 4: Simplify right side
    342.33x = 158,877.61
  5. Step 5: Solve for x
    x = 158,877.61/342.33
  6. Step 6: Final answer
    x = 464.11

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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.