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Finding the Fourth Proportional to 596.35, 823.23 and 558.99

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Solution

The fourth proportional to 596.35, 823.23 and 558.99 is: 771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 823.23 = 558.99 : x
  2. Step 2: Convert to fraction form
    596.35/823.23 = 558.99/x
  3. Step 3: Cross multiply
    596.35x = 823.23 × 558.99
  4. Step 4: Simplify right side
    596.35x = 460,177.29
  5. Step 5: Solve for x
    x = 460,177.29/596.35
  6. Step 6: Final answer
    x = 771.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.