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Finding the Fourth Proportional to 524.84, 786.26 and 350.98

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Solution

The fourth proportional to 524.84, 786.26 and 350.98 is: 525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 786.26 = 350.98 : x
  2. Step 2: Convert to fraction form
    524.84/786.26 = 350.98/x
  3. Step 3: Cross multiply
    524.84x = 786.26 × 350.98
  4. Step 4: Simplify right side
    524.84x = 275,960.45
  5. Step 5: Solve for x
    x = 275,960.45/524.84
  6. Step 6: Final answer
    x = 525.80

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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.