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Finding the Fourth Proportional to 596.90, 823.57 and 360.83

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Solution

The fourth proportional to 596.90, 823.57 and 360.83 is: 497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 823.57 = 360.83 : x
  2. Step 2: Convert to fraction form
    596.90/823.57 = 360.83/x
  3. Step 3: Cross multiply
    596.90x = 823.57 × 360.83
  4. Step 4: Simplify right side
    596.90x = 297,169.92
  5. Step 5: Solve for x
    x = 297,169.92/596.90
  6. Step 6: Final answer
    x = 497.85

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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.