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Finding the Fourth Proportional to 901.64, 1,352.16 and 285.18

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Solution

The fourth proportional to 901.64, 1,352.16 and 285.18 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.64 : 1,352.16 = 285.18 : x
  2. Step 2: Convert to fraction form
    901.64/1,352.16 = 285.18/x
  3. Step 3: Cross multiply
    901.64x = 1,352.16 × 285.18
  4. Step 4: Simplify right side
    901.64x = 385,608.99
  5. Step 5: Solve for x
    x = 385,608.99/901.64
  6. Step 6: Final answer
    x = 427.68

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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.