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Finding the Fourth Proportional to 610.23, 841.97 and 361.45

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Solution

The fourth proportional to 610.23, 841.97 and 361.45 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 841.97 = 361.45 : x
  2. Step 2: Convert to fraction form
    610.23/841.97 = 361.45/x
  3. Step 3: Cross multiply
    610.23x = 841.97 × 361.45
  4. Step 4: Simplify right side
    610.23x = 304,324.04
  5. Step 5: Solve for x
    x = 304,324.04/610.23
  6. Step 6: Final answer
    x = 498.70

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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.