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Finding the Fourth Proportional to 597.35, 890.97 and 563.05

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Solution

The fourth proportional to 597.35, 890.97 and 563.05 is: 839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 890.97 = 563.05 : x
  2. Step 2: Convert to fraction form
    597.35/890.97 = 563.05/x
  3. Step 3: Cross multiply
    597.35x = 890.97 × 563.05
  4. Step 4: Simplify right side
    597.35x = 501,660.66
  5. Step 5: Solve for x
    x = 501,660.66/597.35
  6. Step 6: Final answer
    x = 839.81

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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.