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Finding the Fourth Proportional to 285.75, 427.82 and 217.08

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Solution

The fourth proportional to 285.75, 427.82 and 217.08 is: 325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 427.82 = 217.08 : x
  2. Step 2: Convert to fraction form
    285.75/427.82 = 217.08/x
  3. Step 3: Cross multiply
    285.75x = 427.82 × 217.08
  4. Step 4: Simplify right side
    285.75x = 92,870.08
  5. Step 5: Solve for x
    x = 92,870.08/285.75
  6. Step 6: Final answer
    x = 325.00

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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.