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Finding the Fourth Proportional to 723.04, 997.72 and 412.52

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Solution

The fourth proportional to 723.04, 997.72 and 412.52 is: 569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.04 : 997.72 = 412.52 : x
  2. Step 2: Convert to fraction form
    723.04/997.72 = 412.52/x
  3. Step 3: Cross multiply
    723.04x = 997.72 × 412.52
  4. Step 4: Simplify right side
    723.04x = 411,579.45
  5. Step 5: Solve for x
    x = 411,579.45/723.04
  6. Step 6: Final answer
    x = 569.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.