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Finding the Fourth Proportional to 341.42, 471 and 223.52

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Solution

The fourth proportional to 341.42, 471 and 223.52 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 471 = 223.52 : x
  2. Step 2: Convert to fraction form
    341.42/471 = 223.52/x
  3. Step 3: Cross multiply
    341.42x = 471 × 223.52
  4. Step 4: Simplify right side
    341.42x = 105,275.57
  5. Step 5: Solve for x
    x = 105,275.57/341.42
  6. Step 6: Final answer
    x = 308.35

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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.