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Finding the Fourth Proportional to 610.02, 841.71 and 348.03

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Solution

The fourth proportional to 610.02, 841.71 and 348.03 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 841.71 = 348.03 : x
  2. Step 2: Convert to fraction form
    610.02/841.71 = 348.03/x
  3. Step 3: Cross multiply
    610.02x = 841.71 × 348.03
  4. Step 4: Simplify right side
    610.02x = 292,940.33
  5. Step 5: Solve for x
    x = 292,940.33/610.02
  6. Step 6: Final answer
    x = 480.21

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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.