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Finding the Fourth Proportional to 412.05, 567.66 and 287.48

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Solution

The fourth proportional to 412.05, 567.66 and 287.48 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 567.66 = 287.48 : x
  2. Step 2: Convert to fraction form
    412.05/567.66 = 287.48/x
  3. Step 3: Cross multiply
    412.05x = 567.66 × 287.48
  4. Step 4: Simplify right side
    412.05x = 163,192.32
  5. Step 5: Solve for x
    x = 163,192.32/412.05
  6. Step 6: Final answer
    x = 396.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.