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Finding the Fourth Proportional to 505.75, 697.81 and 284.68

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Solution

The fourth proportional to 505.75, 697.81 and 284.68 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 697.81 = 284.68 : x
  2. Step 2: Convert to fraction form
    505.75/697.81 = 284.68/x
  3. Step 3: Cross multiply
    505.75x = 697.81 × 284.68
  4. Step 4: Simplify right side
    505.75x = 198,652.55
  5. Step 5: Solve for x
    x = 198,652.55/505.75
  6. Step 6: Final answer
    x = 392.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.