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Finding the Fourth Proportional to 524.44, 717.41 and 522.28

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Solution

The fourth proportional to 524.44, 717.41 and 522.28 is: 714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 717.41 = 522.28 : x
  2. Step 2: Convert to fraction form
    524.44/717.41 = 522.28/x
  3. Step 3: Cross multiply
    524.44x = 717.41 × 522.28
  4. Step 4: Simplify right side
    524.44x = 374,688.89
  5. Step 5: Solve for x
    x = 374,688.89/524.44
  6. Step 6: Final answer
    x = 714.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.