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Finding the Fourth Proportional to 596.48, 823.68 and 400

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Solution

The fourth proportional to 596.48, 823.68 and 400 is: 552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 823.68 = 400 : x
  2. Step 2: Convert to fraction form
    596.48/823.68 = 400/x
  3. Step 3: Cross multiply
    596.48x = 823.68 × 400
  4. Step 4: Simplify right side
    596.48x = 329,472
  5. Step 5: Solve for x
    x = 329,472/596.48
  6. Step 6: Final answer
    x = 552.36

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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.