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Finding the Fourth Proportional to 512.87, 706.59 and 365.31

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Solution

The fourth proportional to 512.87, 706.59 and 365.31 is: 503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 706.59 = 365.31 : x
  2. Step 2: Convert to fraction form
    512.87/706.59 = 365.31/x
  3. Step 3: Cross multiply
    512.87x = 706.59 × 365.31
  4. Step 4: Simplify right side
    512.87x = 258,124.39
  5. Step 5: Solve for x
    x = 258,124.39/512.87
  6. Step 6: Final answer
    x = 503.30

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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.