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Finding the Fourth Proportional to 507.66, 760.79 and 233.08

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Solution

The fourth proportional to 507.66, 760.79 and 233.08 is: 349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.66 : 760.79 = 233.08 : x
  2. Step 2: Convert to fraction form
    507.66/760.79 = 233.08/x
  3. Step 3: Cross multiply
    507.66x = 760.79 × 233.08
  4. Step 4: Simplify right side
    507.66x = 177,324.93
  5. Step 5: Solve for x
    x = 177,324.93/507.66
  6. Step 6: Final answer
    x = 349.30

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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.