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Finding the Fourth Proportional to 400.16, 549.17 and 389.83

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Solution

The fourth proportional to 400.16, 549.17 and 389.83 is: 534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 549.17 = 389.83 : x
  2. Step 2: Convert to fraction form
    400.16/549.17 = 389.83/x
  3. Step 3: Cross multiply
    400.16x = 549.17 × 389.83
  4. Step 4: Simplify right side
    400.16x = 214,082.94
  5. Step 5: Solve for x
    x = 214,082.94/400.16
  6. Step 6: Final answer
    x = 534.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.