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Finding the Fourth Proportional to 611.66, 844.02 and 346.08

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Solution

The fourth proportional to 611.66, 844.02 and 346.08 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.66 : 844.02 = 346.08 : x
  2. Step 2: Convert to fraction form
    611.66/844.02 = 346.08/x
  3. Step 3: Cross multiply
    611.66x = 844.02 × 346.08
  4. Step 4: Simplify right side
    611.66x = 292,099.23
  5. Step 5: Solve for x
    x = 292,099.23/611.66
  6. Step 6: Final answer
    x = 477.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.