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Finding the Fourth Proportional to 509.38, 702.94 and 276.50

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Solution

The fourth proportional to 509.38, 702.94 and 276.50 is: 381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 702.94 = 276.50 : x
  2. Step 2: Convert to fraction form
    509.38/702.94 = 276.50/x
  3. Step 3: Cross multiply
    509.38x = 702.94 × 276.50
  4. Step 4: Simplify right side
    509.38x = 194,362.91
  5. Step 5: Solve for x
    x = 194,362.91/509.38
  6. Step 6: Final answer
    x = 381.57

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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.