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Finding the Fourth Proportional to 596.09, 823.07 and 410.20

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Solution

The fourth proportional to 596.09, 823.07 and 410.20 is: 566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 823.07 = 410.20 : x
  2. Step 2: Convert to fraction form
    596.09/823.07 = 410.20/x
  3. Step 3: Cross multiply
    596.09x = 823.07 × 410.20
  4. Step 4: Simplify right side
    596.09x = 337,622.28
  5. Step 5: Solve for x
    x = 337,622.28/596.09
  6. Step 6: Final answer
    x = 566.39

Related Problems

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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.