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Finding the Fourth Proportional to 903.16, 1,355.70 and 441.28

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Solution

The fourth proportional to 903.16, 1,355.70 and 441.28 is: 662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,355.70 = 441.28 : x
  2. Step 2: Convert to fraction form
    903.16/1,355.70 = 441.28/x
  3. Step 3: Cross multiply
    903.16x = 1,355.70 × 441.28
  4. Step 4: Simplify right side
    903.16x = 598,243.30
  5. Step 5: Solve for x
    x = 598,243.30/903.16
  6. Step 6: Final answer
    x = 662.39

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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.