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Finding the Fourth Proportional to 640.90, 960.42 and 366.42

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Solution

The fourth proportional to 640.90, 960.42 and 366.42 is: 549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.90 : 960.42 = 366.42 : x
  2. Step 2: Convert to fraction form
    640.90/960.42 = 366.42/x
  3. Step 3: Cross multiply
    640.90x = 960.42 × 366.42
  4. Step 4: Simplify right side
    640.90x = 351,917.10
  5. Step 5: Solve for x
    x = 351,917.10/640.90
  6. Step 6: Final answer
    x = 549.10

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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.