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Finding the Fourth Proportional to 596.71, 823.44 and 360.87

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Solution

The fourth proportional to 596.71, 823.44 and 360.87 is: 497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.71 : 823.44 = 360.87 : x
  2. Step 2: Convert to fraction form
    596.71/823.44 = 360.87/x
  3. Step 3: Cross multiply
    596.71x = 823.44 × 360.87
  4. Step 4: Simplify right side
    596.71x = 297,154.79
  5. Step 5: Solve for x
    x = 297,154.79/596.71
  6. Step 6: Final answer
    x = 497.99

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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.