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Finding the Fourth Proportional to 522.45, 721.98 and 397.98

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Solution

The fourth proportional to 522.45, 721.98 and 397.98 is: 549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 721.98 = 397.98 : x
  2. Step 2: Convert to fraction form
    522.45/721.98 = 397.98/x
  3. Step 3: Cross multiply
    522.45x = 721.98 × 397.98
  4. Step 4: Simplify right side
    522.45x = 287,333.60
  5. Step 5: Solve for x
    x = 287,333.60/522.45
  6. Step 6: Final answer
    x = 549.97

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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.