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Finding the Fourth Proportional to 901.71, 1,352.71 and 285.34

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Solution

The fourth proportional to 901.71, 1,352.71 and 285.34 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.71 : 1,352.71 = 285.34 : x
  2. Step 2: Convert to fraction form
    901.71/1,352.71 = 285.34/x
  3. Step 3: Cross multiply
    901.71x = 1,352.71 × 285.34
  4. Step 4: Simplify right side
    901.71x = 385,982.27
  5. Step 5: Solve for x
    x = 385,982.27/901.71
  6. Step 6: Final answer
    x = 428.06

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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.