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Finding the Fourth Proportional to 492.86, 736.53 and 401.66

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Solution

The fourth proportional to 492.86, 736.53 and 401.66 is: 600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.86 : 736.53 = 401.66 : x
  2. Step 2: Convert to fraction form
    492.86/736.53 = 401.66/x
  3. Step 3: Cross multiply
    492.86x = 736.53 × 401.66
  4. Step 4: Simplify right side
    492.86x = 295,830.96
  5. Step 5: Solve for x
    x = 295,830.96/492.86
  6. Step 6: Final answer
    x = 600.24

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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.