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Finding the Fourth Proportional to 507.48, 755.46 and 504.74

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Solution

The fourth proportional to 507.48, 755.46 and 504.74 is: 751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 755.46 = 504.74 : x
  2. Step 2: Convert to fraction form
    507.48/755.46 = 504.74/x
  3. Step 3: Cross multiply
    507.48x = 755.46 × 504.74
  4. Step 4: Simplify right side
    507.48x = 381,310.88
  5. Step 5: Solve for x
    x = 381,310.88/507.48
  6. Step 6: Final answer
    x = 751.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.