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Finding the Fourth Proportional to 355.96, 491.06 and 225.04

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Solution

The fourth proportional to 355.96, 491.06 and 225.04 is: 310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 491.06 = 225.04 : x
  2. Step 2: Convert to fraction form
    355.96/491.06 = 225.04/x
  3. Step 3: Cross multiply
    355.96x = 491.06 × 225.04
  4. Step 4: Simplify right side
    355.96x = 110,508.14
  5. Step 5: Solve for x
    x = 110,508.14/355.96
  6. Step 6: Final answer
    x = 310.45

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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.