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Finding the Fourth Proportional to 609.97, 841.84 and 348

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Solution

The fourth proportional to 609.97, 841.84 and 348 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.97 : 841.84 = 348 : x
  2. Step 2: Convert to fraction form
    609.97/841.84 = 348/x
  3. Step 3: Cross multiply
    609.97x = 841.84 × 348
  4. Step 4: Simplify right side
    609.97x = 292,959.45
  5. Step 5: Solve for x
    x = 292,959.45/609.97
  6. Step 6: Final answer
    x = 480.29

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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.