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Finding the Fourth Proportional to 679.84, 938.08 and 400.16

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Solution

The fourth proportional to 679.84, 938.08 and 400.16 is: 552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.84 : 938.08 = 400.16 : x
  2. Step 2: Convert to fraction form
    679.84/938.08 = 400.16/x
  3. Step 3: Cross multiply
    679.84x = 938.08 × 400.16
  4. Step 4: Simplify right side
    679.84x = 375,382.09
  5. Step 5: Solve for x
    x = 375,382.09/679.84
  6. Step 6: Final answer
    x = 552.16

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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.