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Finding the Fourth Proportional to 507.06, 759.88 and 233.06

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Solution

The fourth proportional to 507.06, 759.88 and 233.06 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 759.88 = 233.06 : x
  2. Step 2: Convert to fraction form
    507.06/759.88 = 233.06/x
  3. Step 3: Cross multiply
    507.06x = 759.88 × 233.06
  4. Step 4: Simplify right side
    507.06x = 177,097.63
  5. Step 5: Solve for x
    x = 177,097.63/507.06
  6. Step 6: Final answer
    x = 349.26

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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.