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Finding the Fourth Proportional to 611.66, 844.04 and 346.10

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Solution

The fourth proportional to 611.66, 844.04 and 346.10 is: 477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.66 : 844.04 = 346.10 : x
  2. Step 2: Convert to fraction form
    611.66/844.04 = 346.10/x
  3. Step 3: Cross multiply
    611.66x = 844.04 × 346.10
  4. Step 4: Simplify right side
    611.66x = 292,116.29
  5. Step 5: Solve for x
    x = 292,116.29/611.66
  6. Step 6: Final answer
    x = 477.58

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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.