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Finding the Fourth Proportional to 522.88, 720.64 and 391.84

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Solution

The fourth proportional to 522.88, 720.64 and 391.84 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 720.64 = 391.84 : x
  2. Step 2: Convert to fraction form
    522.88/720.64 = 391.84/x
  3. Step 3: Cross multiply
    522.88x = 720.64 × 391.84
  4. Step 4: Simplify right side
    522.88x = 282,375.58
  5. Step 5: Solve for x
    x = 282,375.58/522.88
  6. Step 6: Final answer
    x = 540.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.