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Finding the Fourth Proportional to 400.69, 553.67 and 314.02

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Solution

The fourth proportional to 400.69, 553.67 and 314.02 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 553.67 = 314.02 : x
  2. Step 2: Convert to fraction form
    400.69/553.67 = 314.02/x
  3. Step 3: Cross multiply
    400.69x = 553.67 × 314.02
  4. Step 4: Simplify right side
    400.69x = 173,863.45
  5. Step 5: Solve for x
    x = 173,863.45/400.69
  6. Step 6: Final answer
    x = 433.91

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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.