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Finding the Fourth Proportional to 596.81, 823.08 and 375.38

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Solution

The fourth proportional to 596.81, 823.08 and 375.38 is: 517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 823.08 = 375.38 : x
  2. Step 2: Convert to fraction form
    596.81/823.08 = 375.38/x
  3. Step 3: Cross multiply
    596.81x = 823.08 × 375.38
  4. Step 4: Simplify right side
    596.81x = 308,963.66
  5. Step 5: Solve for x
    x = 308,963.66/596.81
  6. Step 6: Final answer
    x = 517.69

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1.5x scale

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.