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Finding the Fourth Proportional to 807.27, 1,210.29 and 320.05

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Solution

The fourth proportional to 807.27, 1,210.29 and 320.05 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.27 : 1,210.29 = 320.05 : x
  2. Step 2: Convert to fraction form
    807.27/1,210.29 = 320.05/x
  3. Step 3: Cross multiply
    807.27x = 1,210.29 × 320.05
  4. Step 4: Simplify right side
    807.27x = 387,353.31
  5. Step 5: Solve for x
    x = 387,353.31/807.27
  6. Step 6: Final answer
    x = 479.83

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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.