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Finding the Fourth Proportional to 370.80, 511.69 and 205

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Solution

The fourth proportional to 370.80, 511.69 and 205 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 511.69 = 205 : x
  2. Step 2: Convert to fraction form
    370.80/511.69 = 205/x
  3. Step 3: Cross multiply
    370.80x = 511.69 × 205
  4. Step 4: Simplify right side
    370.80x = 104,896.45
  5. Step 5: Solve for x
    x = 104,896.45/370.80
  6. Step 6: Final answer
    x = 282.89

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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.