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Finding the Fourth Proportional to 538.82, 807.68 and 307.70

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Solution

The fourth proportional to 538.82, 807.68 and 307.70 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 807.68 = 307.70 : x
  2. Step 2: Convert to fraction form
    538.82/807.68 = 307.70/x
  3. Step 3: Cross multiply
    538.82x = 807.68 × 307.70
  4. Step 4: Simplify right side
    538.82x = 248,523.14
  5. Step 5: Solve for x
    x = 248,523.14/538.82
  6. Step 6: Final answer
    x = 461.24

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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.