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Finding the Fourth Proportional to 435.30, 653.13 and 262.29

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Solution

The fourth proportional to 435.30, 653.13 and 262.29 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.30 : 653.13 = 262.29 : x
  2. Step 2: Convert to fraction form
    435.30/653.13 = 262.29/x
  3. Step 3: Cross multiply
    435.30x = 653.13 × 262.29
  4. Step 4: Simplify right side
    435.30x = 171,309.47
  5. Step 5: Solve for x
    x = 171,309.47/435.30
  6. Step 6: Final answer
    x = 393.54

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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.