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Finding the Fourth Proportional to 524.12, 722.30 and 376.49

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Solution

The fourth proportional to 524.12, 722.30 and 376.49 is: 518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 722.30 = 376.49 : x
  2. Step 2: Convert to fraction form
    524.12/722.30 = 376.49/x
  3. Step 3: Cross multiply
    524.12x = 722.30 × 376.49
  4. Step 4: Simplify right side
    524.12x = 271,938.65
  5. Step 5: Solve for x
    x = 271,938.65/524.12
  6. Step 6: Final answer
    x = 518.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.