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Finding the Fourth Proportional to 355.47, 490.10 and 224.25

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Solution

The fourth proportional to 355.47, 490.10 and 224.25 is: 309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.47 : 490.10 = 224.25 : x
  2. Step 2: Convert to fraction form
    355.47/490.10 = 224.25/x
  3. Step 3: Cross multiply
    355.47x = 490.10 × 224.25
  4. Step 4: Simplify right side
    355.47x = 109,903.80
  5. Step 5: Solve for x
    x = 109,903.80/355.47
  6. Step 6: Final answer
    x = 309.18

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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.