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Finding the Fourth Proportional to 596.57, 822.56 and 421.61

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Solution

The fourth proportional to 596.57, 822.56 and 421.61 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 822.56 = 421.61 : x
  2. Step 2: Convert to fraction form
    596.57/822.56 = 421.61/x
  3. Step 3: Cross multiply
    596.57x = 822.56 × 421.61
  4. Step 4: Simplify right side
    596.57x = 346,793.30
  5. Step 5: Solve for x
    x = 346,793.30/596.57
  6. Step 6: Final answer
    x = 581.32

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Half scale
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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.