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Finding the Fourth Proportional to 564.79, 846.07 and 442.48

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Solution

The fourth proportional to 564.79, 846.07 and 442.48 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 846.07 = 442.48 : x
  2. Step 2: Convert to fraction form
    564.79/846.07 = 442.48/x
  3. Step 3: Cross multiply
    564.79x = 846.07 × 442.48
  4. Step 4: Simplify right side
    564.79x = 374,369.05
  5. Step 5: Solve for x
    x = 374,369.05/564.79
  6. Step 6: Final answer
    x = 662.85

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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.