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Finding the Fourth Proportional to 524.24, 719.44 and 475.03

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Solution

The fourth proportional to 524.24, 719.44 and 475.03 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 719.44 = 475.03 : x
  2. Step 2: Convert to fraction form
    524.24/719.44 = 475.03/x
  3. Step 3: Cross multiply
    524.24x = 719.44 × 475.03
  4. Step 4: Simplify right side
    524.24x = 341,755.58
  5. Step 5: Solve for x
    x = 341,755.58/524.24
  6. Step 6: Final answer
    x = 651.91

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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.