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Finding the Fourth Proportional to 509.14, 702.62 and 299.32

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Solution

The fourth proportional to 509.14, 702.62 and 299.32 is: 413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 702.62 = 299.32 : x
  2. Step 2: Convert to fraction form
    509.14/702.62 = 299.32/x
  3. Step 3: Cross multiply
    509.14x = 702.62 × 299.32
  4. Step 4: Simplify right side
    509.14x = 210,309.75
  5. Step 5: Solve for x
    x = 210,309.75/509.14
  6. Step 6: Final answer
    x = 413.07

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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.