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Finding the Fourth Proportional to 808.14, 1,210.68 and 442.44

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Solution

The fourth proportional to 808.14, 1,210.68 and 442.44 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,210.68 = 442.44 : x
  2. Step 2: Convert to fraction form
    808.14/1,210.68 = 442.44/x
  3. Step 3: Cross multiply
    808.14x = 1,210.68 × 442.44
  4. Step 4: Simplify right side
    808.14x = 535,653.26
  5. Step 5: Solve for x
    x = 535,653.26/808.14
  6. Step 6: Final answer
    x = 662.82

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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.