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Finding the Fourth Proportional to 507.14, 759.65 and 233.46

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Solution

The fourth proportional to 507.14, 759.65 and 233.46 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 759.65 = 233.46 : x
  2. Step 2: Convert to fraction form
    507.14/759.65 = 233.46/x
  3. Step 3: Cross multiply
    507.14x = 759.65 × 233.46
  4. Step 4: Simplify right side
    507.14x = 177,346.72
  5. Step 5: Solve for x
    x = 177,346.72/507.14
  6. Step 6: Final answer
    x = 349.70

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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.