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Finding the Fourth Proportional to 378.14, 566.35 and 262.06

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Solution

The fourth proportional to 378.14, 566.35 and 262.06 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 566.35 = 262.06 : x
  2. Step 2: Convert to fraction form
    378.14/566.35 = 262.06/x
  3. Step 3: Cross multiply
    378.14x = 566.35 × 262.06
  4. Step 4: Simplify right side
    378.14x = 148,415.61
  5. Step 5: Solve for x
    x = 148,415.61/378.14
  6. Step 6: Final answer
    x = 392.49

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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.