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Finding the Fourth Proportional to 524.07, 785.64 and 199.21

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Solution

The fourth proportional to 524.07, 785.64 and 199.21 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 785.64 = 199.21 : x
  2. Step 2: Convert to fraction form
    524.07/785.64 = 199.21/x
  3. Step 3: Cross multiply
    524.07x = 785.64 × 199.21
  4. Step 4: Simplify right side
    524.07x = 156,503.42
  5. Step 5: Solve for x
    x = 156,503.42/524.07
  6. Step 6: Final answer
    x = 298.63

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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.