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Finding the Fourth Proportional to 611.60, 844.00 and 346.04

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Solution

The fourth proportional to 611.60, 844.00 and 346.04 is: 477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 844.00 = 346.04 : x
  2. Step 2: Convert to fraction form
    611.60/844.00 = 346.04/x
  3. Step 3: Cross multiply
    611.60x = 844.00 × 346.04
  4. Step 4: Simplify right side
    611.60x = 292,055.23
  5. Step 5: Solve for x
    x = 292,055.23/611.60
  6. Step 6: Final answer
    x = 477.53

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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.