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Finding the Fourth Proportional to 596.90, 894.92 and 401.66

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Solution

The fourth proportional to 596.90, 894.92 and 401.66 is: 602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 894.92 = 401.66 : x
  2. Step 2: Convert to fraction form
    596.90/894.92 = 401.66/x
  3. Step 3: Cross multiply
    596.90x = 894.92 × 401.66
  4. Step 4: Simplify right side
    596.90x = 359,453.57
  5. Step 5: Solve for x
    x = 359,453.57/596.90
  6. Step 6: Final answer
    x = 602.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.