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Finding the Fourth Proportional to 435.06, 653.31 and 416.34

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Solution

The fourth proportional to 435.06, 653.31 and 416.34 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 653.31 = 416.34 : x
  2. Step 2: Convert to fraction form
    435.06/653.31 = 416.34/x
  3. Step 3: Cross multiply
    435.06x = 653.31 × 416.34
  4. Step 4: Simplify right side
    435.06x = 271,999.09
  5. Step 5: Solve for x
    x = 271,999.09/435.06
  6. Step 6: Final answer
    x = 625.20

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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.