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Finding the Fourth Proportional to 376.86, 564.26 and 285.29

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Solution

The fourth proportional to 376.86, 564.26 and 285.29 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.86 : 564.26 = 285.29 : x
  2. Step 2: Convert to fraction form
    376.86/564.26 = 285.29/x
  3. Step 3: Cross multiply
    376.86x = 564.26 × 285.29
  4. Step 4: Simplify right side
    376.86x = 160,977.72
  5. Step 5: Solve for x
    x = 160,977.72/376.86
  6. Step 6: Final answer
    x = 427.16

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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.