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Finding the Fourth Proportional to 504.85, 755.83 and 342.24

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Solution

The fourth proportional to 504.85, 755.83 and 342.24 is: 512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.85 : 755.83 = 342.24 : x
  2. Step 2: Convert to fraction form
    504.85/755.83 = 342.24/x
  3. Step 3: Cross multiply
    504.85x = 755.83 × 342.24
  4. Step 4: Simplify right side
    504.85x = 258,673.55
  5. Step 5: Solve for x
    x = 258,673.55/504.85
  6. Step 6: Final answer
    x = 512.38

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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.