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Finding the Fourth Proportional to 507.37, 700.21 and 308.34

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Solution

The fourth proportional to 507.37, 700.21 and 308.34 is: 425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.37 : 700.21 = 308.34 : x
  2. Step 2: Convert to fraction form
    507.37/700.21 = 308.34/x
  3. Step 3: Cross multiply
    507.37x = 700.21 × 308.34
  4. Step 4: Simplify right side
    507.37x = 215,902.75
  5. Step 5: Solve for x
    x = 215,902.75/507.37
  6. Step 6: Final answer
    x = 425.53

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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.