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Finding the Fourth Proportional to 563.66, 844.27 and 465.90

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Solution

The fourth proportional to 563.66, 844.27 and 465.90 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 844.27 = 465.90 : x
  2. Step 2: Convert to fraction form
    563.66/844.27 = 465.90/x
  3. Step 3: Cross multiply
    563.66x = 844.27 × 465.90
  4. Step 4: Simplify right side
    563.66x = 393,348.43
  5. Step 5: Solve for x
    x = 393,348.43/563.66
  6. Step 6: Final answer
    x = 697.85

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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.