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Finding the Fourth Proportional to 524.24, 785.64 and 379.52

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Solution

The fourth proportional to 524.24, 785.64 and 379.52 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 785.64 = 379.52 : x
  2. Step 2: Convert to fraction form
    524.24/785.64 = 379.52/x
  3. Step 3: Cross multiply
    524.24x = 785.64 × 379.52
  4. Step 4: Simplify right side
    524.24x = 298,166.09
  5. Step 5: Solve for x
    x = 298,166.09/524.24
  6. Step 6: Final answer
    x = 568.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.