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Finding the Fourth Proportional to 902.04, 1,352.91 and 414.99

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Solution

The fourth proportional to 902.04, 1,352.91 and 414.99 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.04 : 1,352.91 = 414.99 : x
  2. Step 2: Convert to fraction form
    902.04/1,352.91 = 414.99/x
  3. Step 3: Cross multiply
    902.04x = 1,352.91 × 414.99
  4. Step 4: Simplify right side
    902.04x = 561,444.12
  5. Step 5: Solve for x
    x = 561,444.12/902.04
  6. Step 6: Final answer
    x = 622.42

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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.