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Finding the Fourth Proportional to 325.23, 485.07 and 319.77

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Solution

The fourth proportional to 325.23, 485.07 and 319.77 is: 476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.23 : 485.07 = 319.77 : x
  2. Step 2: Convert to fraction form
    325.23/485.07 = 319.77/x
  3. Step 3: Cross multiply
    325.23x = 485.07 × 319.77
  4. Step 4: Simplify right side
    325.23x = 155,110.83
  5. Step 5: Solve for x
    x = 155,110.83/325.23
  6. Step 6: Final answer
    x = 476.93

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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.