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Finding the Fourth Proportional to 435.50, 652.37 and 204.07

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Solution

The fourth proportional to 435.50, 652.37 and 204.07 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.50 : 652.37 = 204.07 : x
  2. Step 2: Convert to fraction form
    435.50/652.37 = 204.07/x
  3. Step 3: Cross multiply
    435.50x = 652.37 × 204.07
  4. Step 4: Simplify right side
    435.50x = 133,125.88
  5. Step 5: Solve for x
    x = 133,125.88/435.50
  6. Step 6: Final answer
    x = 305.69

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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.