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Finding the Fourth Proportional to 378.82, 567.74 and 287.24

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Solution

The fourth proportional to 378.82, 567.74 and 287.24 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 567.74 = 287.24 : x
  2. Step 2: Convert to fraction form
    378.82/567.74 = 287.24/x
  3. Step 3: Cross multiply
    378.82x = 567.74 × 287.24
  4. Step 4: Simplify right side
    378.82x = 163,077.64
  5. Step 5: Solve for x
    x = 163,077.64/378.82
  6. Step 6: Final answer
    x = 430.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.