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Finding the Fourth Proportional to 505.76, 697.96 and 284.68

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Solution

The fourth proportional to 505.76, 697.96 and 284.68 is: 392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 697.96 = 284.68 : x
  2. Step 2: Convert to fraction form
    505.76/697.96 = 284.68/x
  3. Step 3: Cross multiply
    505.76x = 697.96 × 284.68
  4. Step 4: Simplify right side
    505.76x = 198,695.25
  5. Step 5: Solve for x
    x = 198,695.25/505.76
  6. Step 6: Final answer
    x = 392.86

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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.