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Finding the Fourth Proportional to 370.42, 511.17 and 204.64

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Solution

The fourth proportional to 370.42, 511.17 and 204.64 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.17 = 204.64 : x
  2. Step 2: Convert to fraction form
    370.42/511.17 = 204.64/x
  3. Step 3: Cross multiply
    370.42x = 511.17 × 204.64
  4. Step 4: Simplify right side
    370.42x = 104,603.78
  5. Step 5: Solve for x
    x = 104,603.78/370.42
  6. Step 6: Final answer
    x = 282.39

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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.