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Finding the Fourth Proportional to 494.64, 741.95 and 302.22

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Solution

The fourth proportional to 494.64, 741.95 and 302.22 is: 453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 741.95 = 302.22 : x
  2. Step 2: Convert to fraction form
    494.64/741.95 = 302.22/x
  3. Step 3: Cross multiply
    494.64x = 741.95 × 302.22
  4. Step 4: Simplify right side
    494.64x = 224,229.17
  5. Step 5: Solve for x
    x = 224,229.17/494.64
  6. Step 6: Final answer
    x = 453.32

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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.