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Finding the Fourth Proportional to 608.19, 914.12 and 535.29

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Solution

The fourth proportional to 608.19, 914.12 and 535.29 is: 804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.19 : 914.12 = 535.29 : x
  2. Step 2: Convert to fraction form
    608.19/914.12 = 535.29/x
  3. Step 3: Cross multiply
    608.19x = 914.12 × 535.29
  4. Step 4: Simplify right side
    608.19x = 489,316.62
  5. Step 5: Solve for x
    x = 489,316.62/608.19
  6. Step 6: Final answer
    x = 804.55

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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.