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Finding the Fourth Proportional to 902.14, 1,352.55 and 285.51

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Solution

The fourth proportional to 902.14, 1,352.55 and 285.51 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,352.55 = 285.51 : x
  2. Step 2: Convert to fraction form
    902.14/1,352.55 = 285.51/x
  3. Step 3: Cross multiply
    902.14x = 1,352.55 × 285.51
  4. Step 4: Simplify right side
    902.14x = 386,166.55
  5. Step 5: Solve for x
    x = 386,166.55/902.14
  6. Step 6: Final answer
    x = 428.06

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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.