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Finding the Fourth Proportional to 505.26, 697.29 and 284.22

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Solution

The fourth proportional to 505.26, 697.29 and 284.22 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 697.29 = 284.22 : x
  2. Step 2: Convert to fraction form
    505.26/697.29 = 284.22/x
  3. Step 3: Cross multiply
    505.26x = 697.29 × 284.22
  4. Step 4: Simplify right side
    505.26x = 198,183.76
  5. Step 5: Solve for x
    x = 198,183.76/505.26
  6. Step 6: Final answer
    x = 392.24

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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.