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Finding the Fourth Proportional to 504.58, 755.77 and 230.26

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Solution

The fourth proportional to 504.58, 755.77 and 230.26 is: 344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.58 : 755.77 = 230.26 : x
  2. Step 2: Convert to fraction form
    504.58/755.77 = 230.26/x
  3. Step 3: Cross multiply
    504.58x = 755.77 × 230.26
  4. Step 4: Simplify right side
    504.58x = 174,023.60
  5. Step 5: Solve for x
    x = 174,023.60/504.58
  6. Step 6: Final answer
    x = 344.89

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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.