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Finding the Fourth Proportional to 435.22, 653.10 and 311.92

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Solution

The fourth proportional to 435.22, 653.10 and 311.92 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.22 : 653.10 = 311.92 : x
  2. Step 2: Convert to fraction form
    435.22/653.10 = 311.92/x
  3. Step 3: Cross multiply
    435.22x = 653.10 × 311.92
  4. Step 4: Simplify right side
    435.22x = 203,714.95
  5. Step 5: Solve for x
    x = 203,714.95/435.22
  6. Step 6: Final answer
    x = 468.07

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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.