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Finding the Fourth Proportional to 511.86, 705.82 and 470.24

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Solution

The fourth proportional to 511.86, 705.82 and 470.24 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 705.82 = 470.24 : x
  2. Step 2: Convert to fraction form
    511.86/705.82 = 470.24/x
  3. Step 3: Cross multiply
    511.86x = 705.82 × 470.24
  4. Step 4: Simplify right side
    511.86x = 331,902.45
  5. Step 5: Solve for x
    x = 331,902.45/511.86
  6. Step 6: Final answer
    x = 648.43

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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.