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Finding the Fourth Proportional to 370.61, 511.47 and 204.83

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Solution

The fourth proportional to 370.61, 511.47 and 204.83 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.61 : 511.47 = 204.83 : x
  2. Step 2: Convert to fraction form
    370.61/511.47 = 204.83/x
  3. Step 3: Cross multiply
    370.61x = 511.47 × 204.83
  4. Step 4: Simplify right side
    370.61x = 104,764.40
  5. Step 5: Solve for x
    x = 104,764.40/370.61
  6. Step 6: Final answer
    x = 282.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.