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Finding the Fourth Proportional to 541.18, 811.83 and 467.32

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Solution

The fourth proportional to 541.18, 811.83 and 467.32 is: 701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.18 : 811.83 = 467.32 : x
  2. Step 2: Convert to fraction form
    541.18/811.83 = 467.32/x
  3. Step 3: Cross multiply
    541.18x = 811.83 × 467.32
  4. Step 4: Simplify right side
    541.18x = 379,384.40
  5. Step 5: Solve for x
    x = 379,384.40/541.18
  6. Step 6: Final answer
    x = 701.03

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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.