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Finding the Fourth Proportional to 596.92, 823.01 and 431.07

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Solution

The fourth proportional to 596.92, 823.01 and 431.07 is: 594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 823.01 = 431.07 : x
  2. Step 2: Convert to fraction form
    596.92/823.01 = 431.07/x
  3. Step 3: Cross multiply
    596.92x = 823.01 × 431.07
  4. Step 4: Simplify right side
    596.92x = 354,776.73
  5. Step 5: Solve for x
    x = 354,776.73/596.92
  6. Step 6: Final answer
    x = 594.35

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Double scale
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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.