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Finding the Fourth Proportional to 596.16, 822.56 and 363.29

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Solution

The fourth proportional to 596.16, 822.56 and 363.29 is: 501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 822.56 = 363.29 : x
  2. Step 2: Convert to fraction form
    596.16/822.56 = 363.29/x
  3. Step 3: Cross multiply
    596.16x = 822.56 × 363.29
  4. Step 4: Simplify right side
    596.16x = 298,821.89
  5. Step 5: Solve for x
    x = 298,821.89/596.16
  6. Step 6: Final answer
    x = 501.24

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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.