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Finding the Fourth Proportional to 596.42, 823.34 and 400.07

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Solution

The fourth proportional to 596.42, 823.34 and 400.07 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.42 : 823.34 = 400.07 : x
  2. Step 2: Convert to fraction form
    596.42/823.34 = 400.07/x
  3. Step 3: Cross multiply
    596.42x = 823.34 × 400.07
  4. Step 4: Simplify right side
    596.42x = 329,393.63
  5. Step 5: Solve for x
    x = 329,393.63/596.42
  6. Step 6: Final answer
    x = 552.28

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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.