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Finding the Fourth Proportional to 412.84, 569.18 and 342.96

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Solution

The fourth proportional to 412.84, 569.18 and 342.96 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.18 = 342.96 : x
  2. Step 2: Convert to fraction form
    412.84/569.18 = 342.96/x
  3. Step 3: Cross multiply
    412.84x = 569.18 × 342.96
  4. Step 4: Simplify right side
    412.84x = 195,205.97
  5. Step 5: Solve for x
    x = 195,205.97/412.84
  6. Step 6: Final answer
    x = 472.84

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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.