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Finding the Fourth Proportional to 596.21, 890.24 and 504.95

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Solution

The fourth proportional to 596.21, 890.24 and 504.95 is: 753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 890.24 = 504.95 : x
  2. Step 2: Convert to fraction form
    596.21/890.24 = 504.95/x
  3. Step 3: Cross multiply
    596.21x = 890.24 × 504.95
  4. Step 4: Simplify right side
    596.21x = 449,519.71
  5. Step 5: Solve for x
    x = 449,519.71/596.21
  6. Step 6: Final answer
    x = 753.97

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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.