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Finding the Fourth Proportional to 508.02, 761.94 and 234

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Solution

The fourth proportional to 508.02, 761.94 and 234 is: 350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 761.94 = 234 : x
  2. Step 2: Convert to fraction form
    508.02/761.94 = 234/x
  3. Step 3: Cross multiply
    508.02x = 761.94 × 234
  4. Step 4: Simplify right side
    508.02x = 178,293.96
  5. Step 5: Solve for x
    x = 178,293.96/508.02
  6. Step 6: Final answer
    x = 350.96

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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.