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Finding the Fourth Proportional to 535.61, 742.62 and 506.45

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Solution

The fourth proportional to 535.61, 742.62 and 506.45 is: 702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 742.62 = 506.45 : x
  2. Step 2: Convert to fraction form
    535.61/742.62 = 506.45/x
  3. Step 3: Cross multiply
    535.61x = 742.62 × 506.45
  4. Step 4: Simplify right side
    535.61x = 376,097.37
  5. Step 5: Solve for x
    x = 376,097.37/535.61
  6. Step 6: Final answer
    x = 702.19

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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.