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Finding the Fourth Proportional to 596.86, 824 and 401.41

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Solution

The fourth proportional to 596.86, 824 and 401.41 is: 554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.86 : 824 = 401.41 : x
  2. Step 2: Convert to fraction form
    596.86/824 = 401.41/x
  3. Step 3: Cross multiply
    596.86x = 824 × 401.41
  4. Step 4: Simplify right side
    596.86x = 330,761.84
  5. Step 5: Solve for x
    x = 330,761.84/596.86
  6. Step 6: Final answer
    x = 554.17

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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.