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Finding the Fourth Proportional to 369.44, 509.57 and 299.50

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Solution

The fourth proportional to 369.44, 509.57 and 299.50 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.44 : 509.57 = 299.50 : x
  2. Step 2: Convert to fraction form
    369.44/509.57 = 299.50/x
  3. Step 3: Cross multiply
    369.44x = 509.57 × 299.50
  4. Step 4: Simplify right side
    369.44x = 152,613.72
  5. Step 5: Solve for x
    x = 152,613.72/369.44
  6. Step 6: Final answer
    x = 413.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.