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Finding the Fourth Proportional to 596.64, 823.68 and 375.78

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Solution

The fourth proportional to 596.64, 823.68 and 375.78 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 823.68 = 375.78 : x
  2. Step 2: Convert to fraction form
    596.64/823.68 = 375.78/x
  3. Step 3: Cross multiply
    596.64x = 823.68 × 375.78
  4. Step 4: Simplify right side
    596.64x = 309,522.47
  5. Step 5: Solve for x
    x = 309,522.47/596.64
  6. Step 6: Final answer
    x = 518.78

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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.