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Finding the Fourth Proportional to 407.50, 609.72 and 250.78

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Solution

The fourth proportional to 407.50, 609.72 and 250.78 is: 375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 609.72 = 250.78 : x
  2. Step 2: Convert to fraction form
    407.50/609.72 = 250.78/x
  3. Step 3: Cross multiply
    407.50x = 609.72 × 250.78
  4. Step 4: Simplify right side
    407.50x = 152,905.58
  5. Step 5: Solve for x
    x = 152,905.58/407.50
  6. Step 6: Final answer
    x = 375.23

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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.