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Finding the Fourth Proportional to 400.76, 552.14 and 300.74

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Solution

The fourth proportional to 400.76, 552.14 and 300.74 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 552.14 = 300.74 : x
  2. Step 2: Convert to fraction form
    400.76/552.14 = 300.74/x
  3. Step 3: Cross multiply
    400.76x = 552.14 × 300.74
  4. Step 4: Simplify right side
    400.76x = 166,050.58
  5. Step 5: Solve for x
    x = 166,050.58/400.76
  6. Step 6: Final answer
    x = 414.34

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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.