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Finding the Fourth Proportional to 460.46, 690.54 and 216.83

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Solution

The fourth proportional to 460.46, 690.54 and 216.83 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 690.54 = 216.83 : x
  2. Step 2: Convert to fraction form
    460.46/690.54 = 216.83/x
  3. Step 3: Cross multiply
    460.46x = 690.54 × 216.83
  4. Step 4: Simplify right side
    460.46x = 149,729.79
  5. Step 5: Solve for x
    x = 149,729.79/460.46
  6. Step 6: Final answer
    x = 325.17

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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.