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Finding the Fourth Proportional to 507.39, 698.51 and 367.26

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Solution

The fourth proportional to 507.39, 698.51 and 367.26 is: 505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 698.51 = 367.26 : x
  2. Step 2: Convert to fraction form
    507.39/698.51 = 367.26/x
  3. Step 3: Cross multiply
    507.39x = 698.51 × 367.26
  4. Step 4: Simplify right side
    507.39x = 256,532.95
  5. Step 5: Solve for x
    x = 256,532.95/507.39
  6. Step 6: Final answer
    x = 505.59

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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.