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Finding the Fourth Proportional to 907.28, 1,361 and 257.92

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Solution

The fourth proportional to 907.28, 1,361 and 257.92 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.28 : 1,361 = 257.92 : x
  2. Step 2: Convert to fraction form
    907.28/1,361 = 257.92/x
  3. Step 3: Cross multiply
    907.28x = 1,361 × 257.92
  4. Step 4: Simplify right side
    907.28x = 351,029.12
  5. Step 5: Solve for x
    x = 351,029.12/907.28
  6. Step 6: Final answer
    x = 386.90

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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.