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Finding the Fourth Proportional to 538.14, 807.17 and 209.08

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Solution

The fourth proportional to 538.14, 807.17 and 209.08 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 807.17 = 209.08 : x
  2. Step 2: Convert to fraction form
    538.14/807.17 = 209.08/x
  3. Step 3: Cross multiply
    538.14x = 807.17 × 209.08
  4. Step 4: Simplify right side
    538.14x = 168,763.07
  5. Step 5: Solve for x
    x = 168,763.07/538.14
  6. Step 6: Final answer
    x = 313.60

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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.