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Finding the Fourth Proportional to 596.01, 822.75 and 409.44

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Solution

The fourth proportional to 596.01, 822.75 and 409.44 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.01 : 822.75 = 409.44 : x
  2. Step 2: Convert to fraction form
    596.01/822.75 = 409.44/x
  3. Step 3: Cross multiply
    596.01x = 822.75 × 409.44
  4. Step 4: Simplify right side
    596.01x = 336,866.76
  5. Step 5: Solve for x
    x = 336,866.76/596.01
  6. Step 6: Final answer
    x = 565.20

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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.