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Finding the Fourth Proportional to 509.24, 702.94 and 398.27

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Solution

The fourth proportional to 509.24, 702.94 and 398.27 is: 549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 702.94 = 398.27 : x
  2. Step 2: Convert to fraction form
    509.24/702.94 = 398.27/x
  3. Step 3: Cross multiply
    509.24x = 702.94 × 398.27
  4. Step 4: Simplify right side
    509.24x = 279,959.91
  5. Step 5: Solve for x
    x = 279,959.91/509.24
  6. Step 6: Final answer
    x = 549.76

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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.