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Finding the Fourth Proportional to 541.49, 811.49 and 233.28

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Solution

The fourth proportional to 541.49, 811.49 and 233.28 is: 349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 811.49 = 233.28 : x
  2. Step 2: Convert to fraction form
    541.49/811.49 = 233.28/x
  3. Step 3: Cross multiply
    541.49x = 811.49 × 233.28
  4. Step 4: Simplify right side
    541.49x = 189,303.22
  5. Step 5: Solve for x
    x = 189,303.22/541.49
  6. Step 6: Final answer
    x = 349.60

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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.