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Finding the Fourth Proportional to 511.72, 705.92 and 364.10

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Solution

The fourth proportional to 511.72, 705.92 and 364.10 is: 502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 705.92 = 364.10 : x
  2. Step 2: Convert to fraction form
    511.72/705.92 = 364.10/x
  3. Step 3: Cross multiply
    511.72x = 705.92 × 364.10
  4. Step 4: Simplify right side
    511.72x = 257,020.12
  5. Step 5: Solve for x
    x = 257,020.12/511.72
  6. Step 6: Final answer
    x = 502.27

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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.