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Finding the Fourth Proportional to 509.30, 702.84 and 276.43

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Solution

The fourth proportional to 509.30, 702.84 and 276.43 is: 381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 702.84 = 276.43 : x
  2. Step 2: Convert to fraction form
    509.30/702.84 = 276.43/x
  3. Step 3: Cross multiply
    509.30x = 702.84 × 276.43
  4. Step 4: Simplify right side
    509.30x = 194,286.06
  5. Step 5: Solve for x
    x = 194,286.06/509.30
  6. Step 6: Final answer
    x = 381.48

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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.