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Finding the Fourth Proportional to 509.85, 703.67 and 288.83

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Solution

The fourth proportional to 509.85, 703.67 and 288.83 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 703.67 = 288.83 : x
  2. Step 2: Convert to fraction form
    509.85/703.67 = 288.83/x
  3. Step 3: Cross multiply
    509.85x = 703.67 × 288.83
  4. Step 4: Simplify right side
    509.85x = 203,236.04
  5. Step 5: Solve for x
    x = 203,236.04/509.85
  6. Step 6: Final answer
    x = 398.62

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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.