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Finding the Fourth Proportional to 376.36, 564.80 and 285.64

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Solution

The fourth proportional to 376.36, 564.80 and 285.64 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.36 : 564.80 = 285.64 : x
  2. Step 2: Convert to fraction form
    376.36/564.80 = 285.64/x
  3. Step 3: Cross multiply
    376.36x = 564.80 × 285.64
  4. Step 4: Simplify right side
    376.36x = 161,329.47
  5. Step 5: Solve for x
    x = 161,329.47/376.36
  6. Step 6: Final answer
    x = 428.66

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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.