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Finding the Fourth Proportional to 637.92, 880.40 and 389.28

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Solution

The fourth proportional to 637.92, 880.40 and 389.28 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.92 : 880.40 = 389.28 : x
  2. Step 2: Convert to fraction form
    637.92/880.40 = 389.28/x
  3. Step 3: Cross multiply
    637.92x = 880.40 × 389.28
  4. Step 4: Simplify right side
    637.92x = 342,722.11
  5. Step 5: Solve for x
    x = 342,722.11/637.92
  6. Step 6: Final answer
    x = 537.25

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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.