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Finding the Fourth Proportional to 509.15, 702.62 and 276.27

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Solution

The fourth proportional to 509.15, 702.62 and 276.27 is: 381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.15 : 702.62 = 276.27 : x
  2. Step 2: Convert to fraction form
    509.15/702.62 = 276.27/x
  3. Step 3: Cross multiply
    509.15x = 702.62 × 276.27
  4. Step 4: Simplify right side
    509.15x = 194,115.12
  5. Step 5: Solve for x
    x = 194,115.12/509.15
  6. Step 6: Final answer
    x = 381.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.