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Finding the Fourth Proportional to 723.22, 998.13 and 412.78

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Solution

The fourth proportional to 723.22, 998.13 and 412.78 is: 569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.22 : 998.13 = 412.78 : x
  2. Step 2: Convert to fraction form
    723.22/998.13 = 412.78/x
  3. Step 3: Cross multiply
    723.22x = 998.13 × 412.78
  4. Step 4: Simplify right side
    723.22x = 412,008.10
  5. Step 5: Solve for x
    x = 412,008.10/723.22
  6. Step 6: Final answer
    x = 569.69

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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.