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Finding the Fourth Proportional to 512.99, 707.93 and 280.12

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Solution

The fourth proportional to 512.99, 707.93 and 280.12 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 707.93 = 280.12 : x
  2. Step 2: Convert to fraction form
    512.99/707.93 = 280.12/x
  3. Step 3: Cross multiply
    512.99x = 707.93 × 280.12
  4. Step 4: Simplify right side
    512.99x = 198,302.18
  5. Step 5: Solve for x
    x = 198,302.18/512.99
  6. Step 6: Final answer
    x = 386.56

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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.