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Finding the Fourth Proportional to 412.04, 567.32 and 349.74

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Solution

The fourth proportional to 412.04, 567.32 and 349.74 is: 481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 567.32 = 349.74 : x
  2. Step 2: Convert to fraction form
    412.04/567.32 = 349.74/x
  3. Step 3: Cross multiply
    412.04x = 567.32 × 349.74
  4. Step 4: Simplify right side
    412.04x = 198,414.50
  5. Step 5: Solve for x
    x = 198,414.50/412.04
  6. Step 6: Final answer
    x = 481.54

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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.