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Finding the Fourth Proportional to 541.63, 812.57 and 217.03

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Solution

The fourth proportional to 541.63, 812.57 and 217.03 is: 325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.63 : 812.57 = 217.03 : x
  2. Step 2: Convert to fraction form
    541.63/812.57 = 217.03/x
  3. Step 3: Cross multiply
    541.63x = 812.57 × 217.03
  4. Step 4: Simplify right side
    541.63x = 176,352.07
  5. Step 5: Solve for x
    x = 176,352.07/541.63
  6. Step 6: Final answer
    x = 325.60

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Why These Related Problems?

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