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Finding the Fourth Proportional to 435.86, 653.99 and 416.82

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Solution

The fourth proportional to 435.86, 653.99 and 416.82 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.86 : 653.99 = 416.82 : x
  2. Step 2: Convert to fraction form
    435.86/653.99 = 416.82/x
  3. Step 3: Cross multiply
    435.86x = 653.99 × 416.82
  4. Step 4: Simplify right side
    435.86x = 272,594.03
  5. Step 5: Solve for x
    x = 272,594.03/435.86
  6. Step 6: Final answer
    x = 625.42

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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.