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Finding the Fourth Proportional to 505.60, 697.77 and 284.56

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Solution

The fourth proportional to 505.60, 697.77 and 284.56 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 697.77 = 284.56 : x
  2. Step 2: Convert to fraction form
    505.60/697.77 = 284.56/x
  3. Step 3: Cross multiply
    505.60x = 697.77 × 284.56
  4. Step 4: Simplify right side
    505.60x = 198,555.69
  5. Step 5: Solve for x
    x = 198,555.69/505.60
  6. Step 6: Final answer
    x = 392.71

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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.