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Finding the Fourth Proportional to 607.50, 908.82 and 538.25

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Solution

The fourth proportional to 607.50, 908.82 and 538.25 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 908.82 = 538.25 : x
  2. Step 2: Convert to fraction form
    607.50/908.82 = 538.25/x
  3. Step 3: Cross multiply
    607.50x = 908.82 × 538.25
  4. Step 4: Simplify right side
    607.50x = 489,167.82
  5. Step 5: Solve for x
    x = 489,167.82/607.50
  6. Step 6: Final answer
    x = 805.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.