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Finding the Fourth Proportional to 285.50, 427.56 and 260.84

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Solution

The fourth proportional to 285.50, 427.56 and 260.84 is: 390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 427.56 = 260.84 : x
  2. Step 2: Convert to fraction form
    285.50/427.56 = 260.84/x
  3. Step 3: Cross multiply
    285.50x = 427.56 × 260.84
  4. Step 4: Simplify right side
    285.50x = 111,524.75
  5. Step 5: Solve for x
    x = 111,524.75/285.50
  6. Step 6: Final answer
    x = 390.63

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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.