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Finding the Fourth Proportional to 412.11, 568.17 and 342.45

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Solution

The fourth proportional to 412.11, 568.17 and 342.45 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 568.17 = 342.45 : x
  2. Step 2: Convert to fraction form
    412.11/568.17 = 342.45/x
  3. Step 3: Cross multiply
    412.11x = 568.17 × 342.45
  4. Step 4: Simplify right side
    412.11x = 194,569.82
  5. Step 5: Solve for x
    x = 194,569.82/412.11
  6. Step 6: Final answer
    x = 472.13

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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.