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Finding the Fourth Proportional to 564.13, 847.80 and 333.12

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Solution

The fourth proportional to 564.13, 847.80 and 333.12 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 847.80 = 333.12 : x
  2. Step 2: Convert to fraction form
    564.13/847.80 = 333.12/x
  3. Step 3: Cross multiply
    564.13x = 847.80 × 333.12
  4. Step 4: Simplify right side
    564.13x = 282,419.14
  5. Step 5: Solve for x
    x = 282,419.14/564.13
  6. Step 6: Final answer
    x = 500.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.