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Finding the Fourth Proportional to 627.81, 941.59 and 257.52

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Solution

The fourth proportional to 627.81, 941.59 and 257.52 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.81 : 941.59 = 257.52 : x
  2. Step 2: Convert to fraction form
    627.81/941.59 = 257.52/x
  3. Step 3: Cross multiply
    627.81x = 941.59 × 257.52
  4. Step 4: Simplify right side
    627.81x = 242,478.26
  5. Step 5: Solve for x
    x = 242,478.26/627.81
  6. Step 6: Final answer
    x = 386.23

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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.