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Finding the Fourth Proportional to 341.65, 471.89 and 339.25

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Solution

The fourth proportional to 341.65, 471.89 and 339.25 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.65 : 471.89 = 339.25 : x
  2. Step 2: Convert to fraction form
    341.65/471.89 = 339.25/x
  3. Step 3: Cross multiply
    341.65x = 471.89 × 339.25
  4. Step 4: Simplify right side
    341.65x = 160,087.08
  5. Step 5: Solve for x
    x = 160,087.08/341.65
  6. Step 6: Final answer
    x = 468.57

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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.