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Finding the Fourth Proportional to 808.36, 1,211.52 and 345.60

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Solution

The fourth proportional to 808.36, 1,211.52 and 345.60 is: 517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.36 : 1,211.52 = 345.60 : x
  2. Step 2: Convert to fraction form
    808.36/1,211.52 = 345.60/x
  3. Step 3: Cross multiply
    808.36x = 1,211.52 × 345.60
  4. Step 4: Simplify right side
    808.36x = 418,701.31
  5. Step 5: Solve for x
    x = 418,701.31/808.36
  6. Step 6: Final answer
    x = 517.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.