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Finding the Fourth Proportional to 290.94, 438 and 251.25

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Solution

The fourth proportional to 290.94, 438 and 251.25 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 438 = 251.25 : x
  2. Step 2: Convert to fraction form
    290.94/438 = 251.25/x
  3. Step 3: Cross multiply
    290.94x = 438 × 251.25
  4. Step 4: Simplify right side
    290.94x = 110,047.50
  5. Step 5: Solve for x
    x = 110,047.50/290.94
  6. Step 6: Final answer
    x = 378.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.