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Finding the Fourth Proportional to 640.36, 884.43 and 430.18

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Solution

The fourth proportional to 640.36, 884.43 and 430.18 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 884.43 = 430.18 : x
  2. Step 2: Convert to fraction form
    640.36/884.43 = 430.18/x
  3. Step 3: Cross multiply
    640.36x = 884.43 × 430.18
  4. Step 4: Simplify right side
    640.36x = 380,464.10
  5. Step 5: Solve for x
    x = 380,464.10/640.36
  6. Step 6: Final answer
    x = 594.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.