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Finding the Fourth Proportional to 608.90, 908.34 and 563

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Solution

The fourth proportional to 608.90, 908.34 and 563 is: 839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.90 : 908.34 = 563 : x
  2. Step 2: Convert to fraction form
    608.90/908.34 = 563/x
  3. Step 3: Cross multiply
    608.90x = 908.34 × 563
  4. Step 4: Simplify right side
    608.90x = 511,392.61
  5. Step 5: Solve for x
    x = 511,392.61/608.90
  6. Step 6: Final answer
    x = 839.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.