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Finding the Fourth Proportional to 505.22, 697.55 and 308.86

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Solution

The fourth proportional to 505.22, 697.55 and 308.86 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 697.55 = 308.86 : x
  2. Step 2: Convert to fraction form
    505.22/697.55 = 308.86/x
  3. Step 3: Cross multiply
    505.22x = 697.55 × 308.86
  4. Step 4: Simplify right side
    505.22x = 215,442.00
  5. Step 5: Solve for x
    x = 215,442.00/505.22
  6. Step 6: Final answer
    x = 426.44

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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.