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Finding the Fourth Proportional to 535.86, 742.97 and 506.70

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Solution

The fourth proportional to 535.86, 742.97 and 506.70 is: 702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 742.97 = 506.70 : x
  2. Step 2: Convert to fraction form
    535.86/742.97 = 506.70/x
  3. Step 3: Cross multiply
    535.86x = 742.97 × 506.70
  4. Step 4: Simplify right side
    535.86x = 376,460.37
  5. Step 5: Solve for x
    x = 376,460.37/535.86
  6. Step 6: Final answer
    x = 702.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.