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Finding the Fourth Proportional to 509.59, 703.25 and 299.77

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Solution

The fourth proportional to 509.59, 703.25 and 299.77 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.59 : 703.25 = 299.77 : x
  2. Step 2: Convert to fraction form
    509.59/703.25 = 299.77/x
  3. Step 3: Cross multiply
    509.59x = 703.25 × 299.77
  4. Step 4: Simplify right side
    509.59x = 210,811.12
  5. Step 5: Solve for x
    x = 210,811.12/509.59
  6. Step 6: Final answer
    x = 413.69

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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.