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Finding the Fourth Proportional to 610.02, 841.84 and 361.34

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Solution

The fourth proportional to 610.02, 841.84 and 361.34 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 841.84 = 361.34 : x
  2. Step 2: Convert to fraction form
    610.02/841.84 = 361.34/x
  3. Step 3: Cross multiply
    610.02x = 841.84 × 361.34
  4. Step 4: Simplify right side
    610.02x = 304,186.26
  5. Step 5: Solve for x
    x = 304,186.26/610.02
  6. Step 6: Final answer
    x = 498.65

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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.