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Finding the Fourth Proportional to 564.46, 846.68 and 153.64

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Solution

The fourth proportional to 564.46, 846.68 and 153.64 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 846.68 = 153.64 : x
  2. Step 2: Convert to fraction form
    564.46/846.68 = 153.64/x
  3. Step 3: Cross multiply
    564.46x = 846.68 × 153.64
  4. Step 4: Simplify right side
    564.46x = 130,083.92
  5. Step 5: Solve for x
    x = 130,083.92/564.46
  6. Step 6: Final answer
    x = 230.46

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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.