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Finding the Fourth Proportional to 524.07, 728.06 and 519.32

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Solution

The fourth proportional to 524.07, 728.06 and 519.32 is: 721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 728.06 = 519.32 : x
  2. Step 2: Convert to fraction form
    524.07/728.06 = 519.32/x
  3. Step 3: Cross multiply
    524.07x = 728.06 × 519.32
  4. Step 4: Simplify right side
    524.07x = 378,096.12
  5. Step 5: Solve for x
    x = 378,096.12/524.07
  6. Step 6: Final answer
    x = 721.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.