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Finding the Fourth Proportional to 435.46, 653.40 and 250.78

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Solution

The fourth proportional to 435.46, 653.40 and 250.78 is: 376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.46 : 653.40 = 250.78 : x
  2. Step 2: Convert to fraction form
    435.46/653.40 = 250.78/x
  3. Step 3: Cross multiply
    435.46x = 653.40 × 250.78
  4. Step 4: Simplify right side
    435.46x = 163,859.65
  5. Step 5: Solve for x
    x = 163,859.65/435.46
  6. Step 6: Final answer
    x = 376.29

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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.