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Finding the Fourth Proportional to 564.08, 846.57 and 401.88

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Solution

The fourth proportional to 564.08, 846.57 and 401.88 is: 603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 846.57 = 401.88 : x
  2. Step 2: Convert to fraction form
    564.08/846.57 = 401.88/x
  3. Step 3: Cross multiply
    564.08x = 846.57 × 401.88
  4. Step 4: Simplify right side
    564.08x = 340,219.55
  5. Step 5: Solve for x
    x = 340,219.55/564.08
  6. Step 6: Final answer
    x = 603.15

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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.