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Finding the Fourth Proportional to 378.48, 566.69 and 286.92

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Solution

The fourth proportional to 378.48, 566.69 and 286.92 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 566.69 = 286.92 : x
  2. Step 2: Convert to fraction form
    378.48/566.69 = 286.92/x
  3. Step 3: Cross multiply
    378.48x = 566.69 × 286.92
  4. Step 4: Simplify right side
    378.48x = 162,594.69
  5. Step 5: Solve for x
    x = 162,594.69/378.48
  6. Step 6: Final answer
    x = 429.60

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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.