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Finding the Fourth Proportional to 341.48, 471.32 and 210.56

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Solution

The fourth proportional to 341.48, 471.32 and 210.56 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 471.32 = 210.56 : x
  2. Step 2: Convert to fraction form
    341.48/471.32 = 210.56/x
  3. Step 3: Cross multiply
    341.48x = 471.32 × 210.56
  4. Step 4: Simplify right side
    341.48x = 99,241.14
  5. Step 5: Solve for x
    x = 99,241.14/341.48
  6. Step 6: Final answer
    x = 290.62

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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.