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Finding the Fourth Proportional to 507.68, 761.62 and 233.97

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Solution

The fourth proportional to 507.68, 761.62 and 233.97 is: 351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 761.62 = 233.97 : x
  2. Step 2: Convert to fraction form
    507.68/761.62 = 233.97/x
  3. Step 3: Cross multiply
    507.68x = 761.62 × 233.97
  4. Step 4: Simplify right side
    507.68x = 178,196.23
  5. Step 5: Solve for x
    x = 178,196.23/507.68
  6. Step 6: Final answer
    x = 351.00

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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.