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Finding the Fourth Proportional to 596.66, 823.45 and 400.58

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Solution

The fourth proportional to 596.66, 823.45 and 400.58 is: 552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.66 : 823.45 = 400.58 : x
  2. Step 2: Convert to fraction form
    596.66/823.45 = 400.58/x
  3. Step 3: Cross multiply
    596.66x = 823.45 × 400.58
  4. Step 4: Simplify right side
    596.66x = 329,857.60
  5. Step 5: Solve for x
    x = 329,857.60/596.66
  6. Step 6: Final answer
    x = 552.84

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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.