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Finding the Fourth Proportional to 424.78, 586.22 and 238.28

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Solution

The fourth proportional to 424.78, 586.22 and 238.28 is: 328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.78 : 586.22 = 238.28 : x
  2. Step 2: Convert to fraction form
    424.78/586.22 = 238.28/x
  3. Step 3: Cross multiply
    424.78x = 586.22 × 238.28
  4. Step 4: Simplify right side
    424.78x = 139,682.44
  5. Step 5: Solve for x
    x = 139,682.44/424.78
  6. Step 6: Final answer
    x = 328.84

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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.