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Finding the Fourth Proportional to 596.64, 823.56 and 400.08

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Solution

The fourth proportional to 596.64, 823.56 and 400.08 is: 552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 823.56 = 400.08 : x
  2. Step 2: Convert to fraction form
    596.64/823.56 = 400.08/x
  3. Step 3: Cross multiply
    596.64x = 823.56 × 400.08
  4. Step 4: Simplify right side
    596.64x = 329,489.88
  5. Step 5: Solve for x
    x = 329,489.88/596.64
  6. Step 6: Final answer
    x = 552.24

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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.