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Finding the Fourth Proportional to 723.06, 997.89 and 412.50

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Solution

The fourth proportional to 723.06, 997.89 and 412.50 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 997.89 = 412.50 : x
  2. Step 2: Convert to fraction form
    723.06/997.89 = 412.50/x
  3. Step 3: Cross multiply
    723.06x = 997.89 × 412.50
  4. Step 4: Simplify right side
    723.06x = 411,629.63
  5. Step 5: Solve for x
    x = 411,629.63/723.06
  6. Step 6: Final answer
    x = 569.29

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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.