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Finding the Fourth Proportional to 403.76, 561.14 and 399.44

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Solution

The fourth proportional to 403.76, 561.14 and 399.44 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 561.14 = 399.44 : x
  2. Step 2: Convert to fraction form
    403.76/561.14 = 399.44/x
  3. Step 3: Cross multiply
    403.76x = 561.14 × 399.44
  4. Step 4: Simplify right side
    403.76x = 224,141.76
  5. Step 5: Solve for x
    x = 224,141.76/403.76
  6. Step 6: Final answer
    x = 555.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.