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Finding the Fourth Proportional to 524.20, 785.98 and 199.40

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Solution

The fourth proportional to 524.20, 785.98 and 199.40 is: 298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 785.98 = 199.40 : x
  2. Step 2: Convert to fraction form
    524.20/785.98 = 199.40/x
  3. Step 3: Cross multiply
    524.20x = 785.98 × 199.40
  4. Step 4: Simplify right side
    524.20x = 156,724.41
  5. Step 5: Solve for x
    x = 156,724.41/524.20
  6. Step 6: Final answer
    x = 298.98

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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.