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Finding the Fourth Proportional to 806.30, 1,210 and 319.47

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Solution

The fourth proportional to 806.30, 1,210 and 319.47 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.30 : 1,210 = 319.47 : x
  2. Step 2: Convert to fraction form
    806.30/1,210 = 319.47/x
  3. Step 3: Cross multiply
    806.30x = 1,210 × 319.47
  4. Step 4: Simplify right side
    806.30x = 386,558.70
  5. Step 5: Solve for x
    x = 386,558.70/806.30
  6. Step 6: Final answer
    x = 479.42

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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.