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Finding the Fourth Proportional to 506.25, 701.73 and 497.75

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Solution

The fourth proportional to 506.25, 701.73 and 497.75 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 701.73 = 497.75 : x
  2. Step 2: Convert to fraction form
    506.25/701.73 = 497.75/x
  3. Step 3: Cross multiply
    506.25x = 701.73 × 497.75
  4. Step 4: Simplify right side
    506.25x = 349,282.60
  5. Step 5: Solve for x
    x = 349,282.60/506.25
  6. Step 6: Final answer
    x = 689.94

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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.