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Finding the Fourth Proportional to 509.65, 703.07 and 299.82

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Solution

The fourth proportional to 509.65, 703.07 and 299.82 is: 413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 703.07 = 299.82 : x
  2. Step 2: Convert to fraction form
    509.65/703.07 = 299.82/x
  3. Step 3: Cross multiply
    509.65x = 703.07 × 299.82
  4. Step 4: Simplify right side
    509.65x = 210,796.42
  5. Step 5: Solve for x
    x = 210,796.42/509.65
  6. Step 6: Final answer
    x = 413.61

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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.