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Finding the Fourth Proportional to 901.24, 1,351.76 and 284.94

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Solution

The fourth proportional to 901.24, 1,351.76 and 284.94 is: 427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.24 : 1,351.76 = 284.94 : x
  2. Step 2: Convert to fraction form
    901.24/1,351.76 = 284.94/x
  3. Step 3: Cross multiply
    901.24x = 1,351.76 × 284.94
  4. Step 4: Simplify right side
    901.24x = 385,169.07
  5. Step 5: Solve for x
    x = 385,169.07/901.24
  6. Step 6: Final answer
    x = 427.38

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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.