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Finding the Fourth Proportional to 512.70, 766.16 and 368.70

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Solution

The fourth proportional to 512.70, 766.16 and 368.70 is: 550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 766.16 = 368.70 : x
  2. Step 2: Convert to fraction form
    512.70/766.16 = 368.70/x
  3. Step 3: Cross multiply
    512.70x = 766.16 × 368.70
  4. Step 4: Simplify right side
    512.70x = 282,481.35
  5. Step 5: Solve for x
    x = 282,481.35/512.70
  6. Step 6: Final answer
    x = 550.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.