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Finding the Fourth Proportional to 596.50, 890.60 and 559.58

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Solution

The fourth proportional to 596.50, 890.60 and 559.58 is: 835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 890.60 = 559.58 : x
  2. Step 2: Convert to fraction form
    596.50/890.60 = 559.58/x
  3. Step 3: Cross multiply
    596.50x = 890.60 × 559.58
  4. Step 4: Simplify right side
    596.50x = 498,354.70
  5. Step 5: Solve for x
    x = 498,354.70/596.50
  6. Step 6: Final answer
    x = 835.47

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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.