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Finding the Fourth Proportional to 538.49, 807.45 and 204.77

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Solution

The fourth proportional to 538.49, 807.45 and 204.77 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.49 : 807.45 = 204.77 : x
  2. Step 2: Convert to fraction form
    538.49/807.45 = 204.77/x
  3. Step 3: Cross multiply
    538.49x = 807.45 × 204.77
  4. Step 4: Simplify right side
    538.49x = 165,341.54
  5. Step 5: Solve for x
    x = 165,341.54/538.49
  6. Step 6: Final answer
    x = 307.05

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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.