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Finding the Fourth Proportional to 509.43, 702.80 and 299.67

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Solution

The fourth proportional to 509.43, 702.80 and 299.67 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 702.80 = 299.67 : x
  2. Step 2: Convert to fraction form
    509.43/702.80 = 299.67/x
  3. Step 3: Cross multiply
    509.43x = 702.80 × 299.67
  4. Step 4: Simplify right side
    509.43x = 210,606.58
  5. Step 5: Solve for x
    x = 210,606.58/509.43
  6. Step 6: Final answer
    x = 413.42

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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.