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Finding the Fourth Proportional to 564.30, 846.40 and 235.09

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Solution

The fourth proportional to 564.30, 846.40 and 235.09 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 846.40 = 235.09 : x
  2. Step 2: Convert to fraction form
    564.30/846.40 = 235.09/x
  3. Step 3: Cross multiply
    564.30x = 846.40 × 235.09
  4. Step 4: Simplify right side
    564.30x = 198,975.94
  5. Step 5: Solve for x
    x = 198,975.94/564.30
  6. Step 6: Final answer
    x = 352.61

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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.