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Finding the Fourth Proportional to 504.92, 757.56 and 231.08

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Solution

The fourth proportional to 504.92, 757.56 and 231.08 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 757.56 = 231.08 : x
  2. Step 2: Convert to fraction form
    504.92/757.56 = 231.08/x
  3. Step 3: Cross multiply
    504.92x = 757.56 × 231.08
  4. Step 4: Simplify right side
    504.92x = 175,056.96
  5. Step 5: Solve for x
    x = 175,056.96/504.92
  6. Step 6: Final answer
    x = 346.70

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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.