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Finding the Fourth Proportional to 524.04, 785.74 and 199.43

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Solution

The fourth proportional to 524.04, 785.74 and 199.43 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 785.74 = 199.43 : x
  2. Step 2: Convert to fraction form
    524.04/785.74 = 199.43/x
  3. Step 3: Cross multiply
    524.04x = 785.74 × 199.43
  4. Step 4: Simplify right side
    524.04x = 156,700.13
  5. Step 5: Solve for x
    x = 156,700.13/524.04
  6. Step 6: Final answer
    x = 299.02

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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.