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Finding the Fourth Proportional to 435.47, 652.19 and 311.75

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Solution

The fourth proportional to 435.47, 652.19 and 311.75 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.47 : 652.19 = 311.75 : x
  2. Step 2: Convert to fraction form
    435.47/652.19 = 311.75/x
  3. Step 3: Cross multiply
    435.47x = 652.19 × 311.75
  4. Step 4: Simplify right side
    435.47x = 203,316.97
  5. Step 5: Solve for x
    x = 203,316.97/435.47
  6. Step 6: Final answer
    x = 466.89

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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.