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Finding the Fourth Proportional to 596.39, 823.01 and 334.40

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Solution

The fourth proportional to 596.39, 823.01 and 334.40 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 823.01 = 334.40 : x
  2. Step 2: Convert to fraction form
    596.39/823.01 = 334.40/x
  3. Step 3: Cross multiply
    596.39x = 823.01 × 334.40
  4. Step 4: Simplify right side
    596.39x = 275,208.76
  5. Step 5: Solve for x
    x = 275,208.76/596.39
  6. Step 6: Final answer
    x = 461.46

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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.