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Finding the Fourth Proportional to 474.39, 712.26 and 302.13

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Solution

The fourth proportional to 474.39, 712.26 and 302.13 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 712.26 = 302.13 : x
  2. Step 2: Convert to fraction form
    474.39/712.26 = 302.13/x
  3. Step 3: Cross multiply
    474.39x = 712.26 × 302.13
  4. Step 4: Simplify right side
    474.39x = 215,195.11
  5. Step 5: Solve for x
    x = 215,195.11/474.39
  6. Step 6: Final answer
    x = 453.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.