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Finding the Fourth Proportional to 723.21, 998.01 and 412.71

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Solution

The fourth proportional to 723.21, 998.01 and 412.71 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 998.01 = 412.71 : x
  2. Step 2: Convert to fraction form
    723.21/998.01 = 412.71/x
  3. Step 3: Cross multiply
    723.21x = 998.01 × 412.71
  4. Step 4: Simplify right side
    723.21x = 411,888.71
  5. Step 5: Solve for x
    x = 411,888.71/723.21
  6. Step 6: Final answer
    x = 569.53

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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.