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Finding the Fourth Proportional to 511.67, 705.80 and 364.05

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Solution

The fourth proportional to 511.67, 705.80 and 364.05 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 705.80 = 364.05 : x
  2. Step 2: Convert to fraction form
    511.67/705.80 = 364.05/x
  3. Step 3: Cross multiply
    511.67x = 705.80 × 364.05
  4. Step 4: Simplify right side
    511.67x = 256,944.67
  5. Step 5: Solve for x
    x = 256,944.67/511.67
  6. Step 6: Final answer
    x = 502.17

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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.