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Finding the Fourth Proportional to 435.50, 653.52 and 253.25

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Solution

The fourth proportional to 435.50, 653.52 and 253.25 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 653.52 = 253.25 : x
  2. Step 2: Convert to fraction form
    435.50/653.52 = 253.25/x
  3. Step 3: Cross multiply
    435.50x = 653.52 × 253.25
  4. Step 4: Simplify right side
    435.50x = 165,503.94
  5. Step 5: Solve for x
    x = 165,503.94/435.50
  6. Step 6: Final answer
    x = 380.03

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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.