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Finding the Fourth Proportional to 596.52, 899.19 and 544.68

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Solution

The fourth proportional to 596.52, 899.19 and 544.68 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 899.19 = 544.68 : x
  2. Step 2: Convert to fraction form
    596.52/899.19 = 544.68/x
  3. Step 3: Cross multiply
    596.52x = 899.19 × 544.68
  4. Step 4: Simplify right side
    596.52x = 489,770.81
  5. Step 5: Solve for x
    x = 489,770.81/596.52
  6. Step 6: Final answer
    x = 821.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.