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Finding the Fourth Proportional to 541.61, 812.18 and 233.30

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Solution

The fourth proportional to 541.61, 812.18 and 233.30 is: 349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.61 : 812.18 = 233.30 : x
  2. Step 2: Convert to fraction form
    541.61/812.18 = 233.30/x
  3. Step 3: Cross multiply
    541.61x = 812.18 × 233.30
  4. Step 4: Simplify right side
    541.61x = 189,477.53
  5. Step 5: Solve for x
    x = 189,477.53/541.61
  6. Step 6: Final answer
    x = 349.84

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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.