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Finding the Fourth Proportional to 341.42, 471.12 and 215.36

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Solution

The fourth proportional to 341.42, 471.12 and 215.36 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 471.12 = 215.36 : x
  2. Step 2: Convert to fraction form
    341.42/471.12 = 215.36/x
  3. Step 3: Cross multiply
    341.42x = 471.12 × 215.36
  4. Step 4: Simplify right side
    341.42x = 101,459.01
  5. Step 5: Solve for x
    x = 101,459.01/341.42
  6. Step 6: Final answer
    x = 297.17

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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.