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Finding the Fourth Proportional to 490.18, 734.61 and 432.28

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Solution

The fourth proportional to 490.18, 734.61 and 432.28 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.18 : 734.61 = 432.28 : x
  2. Step 2: Convert to fraction form
    490.18/734.61 = 432.28/x
  3. Step 3: Cross multiply
    490.18x = 734.61 × 432.28
  4. Step 4: Simplify right side
    490.18x = 317,557.21
  5. Step 5: Solve for x
    x = 317,557.21/490.18
  6. Step 6: Final answer
    x = 647.84

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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.