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Finding the Fourth Proportional to 507.60, 761.22 and 233.82

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Solution

The fourth proportional to 507.60, 761.22 and 233.82 is: 350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 761.22 = 233.82 : x
  2. Step 2: Convert to fraction form
    507.60/761.22 = 233.82/x
  3. Step 3: Cross multiply
    507.60x = 761.22 × 233.82
  4. Step 4: Simplify right side
    507.60x = 177,988.46
  5. Step 5: Solve for x
    x = 177,988.46/507.60
  6. Step 6: Final answer
    x = 350.65

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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.