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Finding the Fourth Proportional to 509.91, 703.62 and 288.86

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Solution

The fourth proportional to 509.91, 703.62 and 288.86 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 703.62 = 288.86 : x
  2. Step 2: Convert to fraction form
    509.91/703.62 = 288.86/x
  3. Step 3: Cross multiply
    509.91x = 703.62 × 288.86
  4. Step 4: Simplify right side
    509.91x = 203,244.16
  5. Step 5: Solve for x
    x = 203,244.16/509.91
  6. Step 6: Final answer
    x = 398.59

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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.