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Finding the Fourth Proportional to 376.01, 564.21 and 284.68

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Solution

The fourth proportional to 376.01, 564.21 and 284.68 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.01 : 564.21 = 284.68 : x
  2. Step 2: Convert to fraction form
    376.01/564.21 = 284.68/x
  3. Step 3: Cross multiply
    376.01x = 564.21 × 284.68
  4. Step 4: Simplify right side
    376.01x = 160,619.30
  5. Step 5: Solve for x
    x = 160,619.30/376.01
  6. Step 6: Final answer
    x = 427.17

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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.