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Finding the Fourth Proportional to 507.78, 700.38 and 311.37

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Solution

The fourth proportional to 507.78, 700.38 and 311.37 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 700.38 = 311.37 : x
  2. Step 2: Convert to fraction form
    507.78/700.38 = 311.37/x
  3. Step 3: Cross multiply
    507.78x = 700.38 × 311.37
  4. Step 4: Simplify right side
    507.78x = 218,077.32
  5. Step 5: Solve for x
    x = 218,077.32/507.78
  6. Step 6: Final answer
    x = 429.47

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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.