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Finding the Fourth Proportional to 541.12, 812.40 and 325.12

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Solution

The fourth proportional to 541.12, 812.40 and 325.12 is: 488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 812.40 = 325.12 : x
  2. Step 2: Convert to fraction form
    541.12/812.40 = 325.12/x
  3. Step 3: Cross multiply
    541.12x = 812.40 × 325.12
  4. Step 4: Simplify right side
    541.12x = 264,127.49
  5. Step 5: Solve for x
    x = 264,127.49/541.12
  6. Step 6: Final answer
    x = 488.11

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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.