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Finding the Fourth Proportional to 610.23, 840.43 and 527.31

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Solution

The fourth proportional to 610.23, 840.43 and 527.31 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 840.43 = 527.31 : x
  2. Step 2: Convert to fraction form
    610.23/840.43 = 527.31/x
  3. Step 3: Cross multiply
    610.23x = 840.43 × 527.31
  4. Step 4: Simplify right side
    610.23x = 443,164.84
  5. Step 5: Solve for x
    x = 443,164.84/610.23
  6. Step 6: Final answer
    x = 726.22

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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.