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Finding the Fourth Proportional to 564.68, 846.41 and 359.34

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Solution

The fourth proportional to 564.68, 846.41 and 359.34 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.41 = 359.34 : x
  2. Step 2: Convert to fraction form
    564.68/846.41 = 359.34/x
  3. Step 3: Cross multiply
    564.68x = 846.41 × 359.34
  4. Step 4: Simplify right side
    564.68x = 304,147.17
  5. Step 5: Solve for x
    x = 304,147.17/564.68
  6. Step 6: Final answer
    x = 538.62

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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.