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Finding the Fourth Proportional to 596.76, 823.92 and 364.28

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Solution

The fourth proportional to 596.76, 823.92 and 364.28 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.92 = 364.28 : x
  2. Step 2: Convert to fraction form
    596.76/823.92 = 364.28/x
  3. Step 3: Cross multiply
    596.76x = 823.92 × 364.28
  4. Step 4: Simplify right side
    596.76x = 300,137.58
  5. Step 5: Solve for x
    x = 300,137.58/596.76
  6. Step 6: Final answer
    x = 502.95

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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.