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Finding the Fourth Proportional to 512.80, 707.20 and 365.12

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Solution

The fourth proportional to 512.80, 707.20 and 365.12 is: 503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 707.20 = 365.12 : x
  2. Step 2: Convert to fraction form
    512.80/707.20 = 365.12/x
  3. Step 3: Cross multiply
    512.80x = 707.20 × 365.12
  4. Step 4: Simplify right side
    512.80x = 258,212.86
  5. Step 5: Solve for x
    x = 258,212.86/512.80
  6. Step 6: Final answer
    x = 503.54

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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.