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Finding the Fourth Proportional to 901.84, 1,352.96 and 285.58

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Solution

The fourth proportional to 901.84, 1,352.96 and 285.58 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.84 : 1,352.96 = 285.58 : x
  2. Step 2: Convert to fraction form
    901.84/1,352.96 = 285.58/x
  3. Step 3: Cross multiply
    901.84x = 1,352.96 × 285.58
  4. Step 4: Simplify right side
    901.84x = 386,374.22
  5. Step 5: Solve for x
    x = 386,374.22/901.84
  6. Step 6: Final answer
    x = 428.43

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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.