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Finding the Fourth Proportional to 541.84, 809.24 and 468.88

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Solution

The fourth proportional to 541.84, 809.24 and 468.88 is: 700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 809.24 = 468.88 : x
  2. Step 2: Convert to fraction form
    541.84/809.24 = 468.88/x
  3. Step 3: Cross multiply
    541.84x = 809.24 × 468.88
  4. Step 4: Simplify right side
    541.84x = 379,436.45
  5. Step 5: Solve for x
    x = 379,436.45/541.84
  6. Step 6: Final answer
    x = 700.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.