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Finding the Fourth Proportional to 610.97, 841.10 and 536.13

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Solution

The fourth proportional to 610.97, 841.10 and 536.13 is: 738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.97 : 841.10 = 536.13 : x
  2. Step 2: Convert to fraction form
    610.97/841.10 = 536.13/x
  3. Step 3: Cross multiply
    610.97x = 841.10 × 536.13
  4. Step 4: Simplify right side
    610.97x = 450,936.26
  5. Step 5: Solve for x
    x = 450,936.26/610.97
  6. Step 6: Final answer
    x = 738.07

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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.