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Finding the Fourth Proportional to 541.84, 811.44 and 465.04

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Solution

The fourth proportional to 541.84, 811.44 and 465.04 is: 696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 811.44 = 465.04 : x
  2. Step 2: Convert to fraction form
    541.84/811.44 = 465.04/x
  3. Step 3: Cross multiply
    541.84x = 811.44 × 465.04
  4. Step 4: Simplify right side
    541.84x = 377,352.06
  5. Step 5: Solve for x
    x = 377,352.06/541.84
  6. Step 6: Final answer
    x = 696.43

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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.