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Finding the Fourth Proportional to 537.96, 741.93 and 455.25

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Solution

The fourth proportional to 537.96, 741.93 and 455.25 is: 627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 741.93 = 455.25 : x
  2. Step 2: Convert to fraction form
    537.96/741.93 = 455.25/x
  3. Step 3: Cross multiply
    537.96x = 741.93 × 455.25
  4. Step 4: Simplify right side
    537.96x = 337,763.63
  5. Step 5: Solve for x
    x = 337,763.63/537.96
  6. Step 6: Final answer
    x = 627.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.