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Finding the Fourth Proportional to 504.54, 757.19 and 230.83

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Solution

The fourth proportional to 504.54, 757.19 and 230.83 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 757.19 = 230.83 : x
  2. Step 2: Convert to fraction form
    504.54/757.19 = 230.83/x
  3. Step 3: Cross multiply
    504.54x = 757.19 × 230.83
  4. Step 4: Simplify right side
    504.54x = 174,782.17
  5. Step 5: Solve for x
    x = 174,782.17/504.54
  6. Step 6: Final answer
    x = 346.42

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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.