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Finding the Fourth Proportional to 378.02, 566.11 and 262.14

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Solution

The fourth proportional to 378.02, 566.11 and 262.14 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 566.11 = 262.14 : x
  2. Step 2: Convert to fraction form
    378.02/566.11 = 262.14/x
  3. Step 3: Cross multiply
    378.02x = 566.11 × 262.14
  4. Step 4: Simplify right side
    378.02x = 148,400.08
  5. Step 5: Solve for x
    x = 148,400.08/378.02
  6. Step 6: Final answer
    x = 392.57

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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.