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Finding the Fourth Proportional to 722.63, 997.22 and 412.19

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Solution

The fourth proportional to 722.63, 997.22 and 412.19 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 997.22 = 412.19 : x
  2. Step 2: Convert to fraction form
    722.63/997.22 = 412.19/x
  3. Step 3: Cross multiply
    722.63x = 997.22 × 412.19
  4. Step 4: Simplify right side
    722.63x = 411,044.11
  5. Step 5: Solve for x
    x = 411,044.11/722.63
  6. Step 6: Final answer
    x = 568.82

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.