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Finding the Fourth Proportional to 596.84, 822.66 and 400.28

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Solution

The fourth proportional to 596.84, 822.66 and 400.28 is: 551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 822.66 = 400.28 : x
  2. Step 2: Convert to fraction form
    596.84/822.66 = 400.28/x
  3. Step 3: Cross multiply
    596.84x = 822.66 × 400.28
  4. Step 4: Simplify right side
    596.84x = 329,294.34
  5. Step 5: Solve for x
    x = 329,294.34/596.84
  6. Step 6: Final answer
    x = 551.73

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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.