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Finding the Fourth Proportional to 400.92, 597.64 and 385.14

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Solution

The fourth proportional to 400.92, 597.64 and 385.14 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 597.64 = 385.14 : x
  2. Step 2: Convert to fraction form
    400.92/597.64 = 385.14/x
  3. Step 3: Cross multiply
    400.92x = 597.64 × 385.14
  4. Step 4: Simplify right side
    400.92x = 230,174.11
  5. Step 5: Solve for x
    x = 230,174.11/400.92
  6. Step 6: Final answer
    x = 574.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.