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Finding the Fourth Proportional to 407, 610.50 and 103

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Solution

The fourth proportional to 407, 610.50 and 103 is: 154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 610.50 = 103 : x
  2. Step 2: Convert to fraction form
    407/610.50 = 103/x
  3. Step 3: Cross multiply
    407x = 610.50 × 103
  4. Step 4: Simplify right side
    407x = 62,881.50
  5. Step 5: Solve for x
    x = 62,881.50/407
  6. Step 6: Final answer
    x = 154.50

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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.