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Finding the Fourth Proportional to 424.50, 585.76 and 238

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Solution

The fourth proportional to 424.50, 585.76 and 238 is: 328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.50 : 585.76 = 238 : x
  2. Step 2: Convert to fraction form
    424.50/585.76 = 238/x
  3. Step 3: Cross multiply
    424.50x = 585.76 × 238
  4. Step 4: Simplify right side
    424.50x = 139,410.88
  5. Step 5: Solve for x
    x = 139,410.88/424.50
  6. Step 6: Final answer
    x = 328.41

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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.