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Finding the Fourth Proportional to 400.19, 601.29 and 383.99

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Solution

The fourth proportional to 400.19, 601.29 and 383.99 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 601.29 = 383.99 : x
  2. Step 2: Convert to fraction form
    400.19/601.29 = 383.99/x
  3. Step 3: Cross multiply
    400.19x = 601.29 × 383.99
  4. Step 4: Simplify right side
    400.19x = 230,886.34
  5. Step 5: Solve for x
    x = 230,886.34/400.19
  6. Step 6: Final answer
    x = 576.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.