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Finding the Fourth Proportional to 474.98, 712.47 and 433.22

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Solution

The fourth proportional to 474.98, 712.47 and 433.22 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.98 : 712.47 = 433.22 : x
  2. Step 2: Convert to fraction form
    474.98/712.47 = 433.22/x
  3. Step 3: Cross multiply
    474.98x = 712.47 × 433.22
  4. Step 4: Simplify right side
    474.98x = 308,656.25
  5. Step 5: Solve for x
    x = 308,656.25/474.98
  6. Step 6: Final answer
    x = 649.83

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Double scale
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Similar ratio
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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.