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Finding the Fourth Proportional to 538.83, 807.66 and 209.72

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Solution

The fourth proportional to 538.83, 807.66 and 209.72 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 807.66 = 209.72 : x
  2. Step 2: Convert to fraction form
    538.83/807.66 = 209.72/x
  3. Step 3: Cross multiply
    538.83x = 807.66 × 209.72
  4. Step 4: Simplify right side
    538.83x = 169,384.47
  5. Step 5: Solve for x
    x = 169,384.47/538.83
  6. Step 6: Final answer
    x = 314.36

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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.