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Finding the Fourth Proportional to 838.50, 1,257.93 and 325.50

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Solution

The fourth proportional to 838.50, 1,257.93 and 325.50 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,257.93 = 325.50 : x
  2. Step 2: Convert to fraction form
    838.50/1,257.93 = 325.50/x
  3. Step 3: Cross multiply
    838.50x = 1,257.93 × 325.50
  4. Step 4: Simplify right side
    838.50x = 409,456.22
  5. Step 5: Solve for x
    x = 409,456.22/838.50
  6. Step 6: Final answer
    x = 488.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.