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Finding the Fourth Proportional to 724.41, 999.73 and 409.69

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Solution

The fourth proportional to 724.41, 999.73 and 409.69 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.41 : 999.73 = 409.69 : x
  2. Step 2: Convert to fraction form
    724.41/999.73 = 409.69/x
  3. Step 3: Cross multiply
    724.41x = 999.73 × 409.69
  4. Step 4: Simplify right side
    724.41x = 409,577.34
  5. Step 5: Solve for x
    x = 409,577.34/724.41
  6. Step 6: Final answer
    x = 565.39

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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.