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Finding the Fourth Proportional to 509.49, 703.02 and 299.66

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Solution

The fourth proportional to 509.49, 703.02 and 299.66 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 703.02 = 299.66 : x
  2. Step 2: Convert to fraction form
    509.49/703.02 = 299.66/x
  3. Step 3: Cross multiply
    509.49x = 703.02 × 299.66
  4. Step 4: Simplify right side
    509.49x = 210,663.46
  5. Step 5: Solve for x
    x = 210,663.46/509.49
  6. Step 6: Final answer
    x = 413.48

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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.