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Finding the Fourth Proportional to 507.77, 760.97 and 233.58

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Solution

The fourth proportional to 507.77, 760.97 and 233.58 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.77 : 760.97 = 233.58 : x
  2. Step 2: Convert to fraction form
    507.77/760.97 = 233.58/x
  3. Step 3: Cross multiply
    507.77x = 760.97 × 233.58
  4. Step 4: Simplify right side
    507.77x = 177,747.37
  5. Step 5: Solve for x
    x = 177,747.37/507.77
  6. Step 6: Final answer
    x = 350.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.