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Finding the Fourth Proportional to 523.60, 717.20 and 522.16

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Solution

The fourth proportional to 523.60, 717.20 and 522.16 is: 715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 717.20 = 522.16 : x
  2. Step 2: Convert to fraction form
    523.60/717.20 = 522.16/x
  3. Step 3: Cross multiply
    523.60x = 717.20 × 522.16
  4. Step 4: Simplify right side
    523.60x = 374,493.15
  5. Step 5: Solve for x
    x = 374,493.15/523.60
  6. Step 6: Final answer
    x = 715.23

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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.