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Finding the Fourth Proportional to 722.81, 997.49 and 412.31

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Solution

The fourth proportional to 722.81, 997.49 and 412.31 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.81 : 997.49 = 412.31 : x
  2. Step 2: Convert to fraction form
    722.81/997.49 = 412.31/x
  3. Step 3: Cross multiply
    722.81x = 997.49 × 412.31
  4. Step 4: Simplify right side
    722.81x = 411,278.63
  5. Step 5: Solve for x
    x = 411,278.63/722.81
  6. Step 6: Final answer
    x = 569.00

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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.