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Finding the Fourth Proportional to 640.14, 883.25 and 360.33

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Solution

The fourth proportional to 640.14, 883.25 and 360.33 is: 497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 883.25 = 360.33 : x
  2. Step 2: Convert to fraction form
    640.14/883.25 = 360.33/x
  3. Step 3: Cross multiply
    640.14x = 883.25 × 360.33
  4. Step 4: Simplify right side
    640.14x = 318,259.67
  5. Step 5: Solve for x
    x = 318,259.67/640.14
  6. Step 6: Final answer
    x = 497.17

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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.