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Finding the Fourth Proportional to 509.27, 702.79 and 276.39

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Solution

The fourth proportional to 509.27, 702.79 and 276.39 is: 381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 702.79 = 276.39 : x
  2. Step 2: Convert to fraction form
    509.27/702.79 = 276.39/x
  3. Step 3: Cross multiply
    509.27x = 702.79 × 276.39
  4. Step 4: Simplify right side
    509.27x = 194,244.13
  5. Step 5: Solve for x
    x = 194,244.13/509.27
  6. Step 6: Final answer
    x = 381.42

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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.