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Finding the Fourth Proportional to 704.31, 971.07 and 538.26

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Solution

The fourth proportional to 704.31, 971.07 and 538.26 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.31 : 971.07 = 538.26 : x
  2. Step 2: Convert to fraction form
    704.31/971.07 = 538.26/x
  3. Step 3: Cross multiply
    704.31x = 971.07 × 538.26
  4. Step 4: Simplify right side
    704.31x = 522,688.14
  5. Step 5: Solve for x
    x = 522,688.14/704.31
  6. Step 6: Final answer
    x = 742.13

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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.