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Finding the Fourth Proportional to 602.22, 898.07 and 596.76

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Solution

The fourth proportional to 602.22, 898.07 and 596.76 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.22 : 898.07 = 596.76 : x
  2. Step 2: Convert to fraction form
    602.22/898.07 = 596.76/x
  3. Step 3: Cross multiply
    602.22x = 898.07 × 596.76
  4. Step 4: Simplify right side
    602.22x = 535,932.25
  5. Step 5: Solve for x
    x = 535,932.25/602.22
  6. Step 6: Final answer
    x = 889.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.