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Finding the Fourth Proportional to 541.84, 812.64 and 217.12

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Solution

The fourth proportional to 541.84, 812.64 and 217.12 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 812.64 = 217.12 : x
  2. Step 2: Convert to fraction form
    541.84/812.64 = 217.12/x
  3. Step 3: Cross multiply
    541.84x = 812.64 × 217.12
  4. Step 4: Simplify right side
    541.84x = 176,440.40
  5. Step 5: Solve for x
    x = 176,440.40/541.84
  6. Step 6: Final answer
    x = 325.63

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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.