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Finding the Fourth Proportional to 524.72, 786.30 and 350.79

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Solution

The fourth proportional to 524.72, 786.30 and 350.79 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 786.30 = 350.79 : x
  2. Step 2: Convert to fraction form
    524.72/786.30 = 350.79/x
  3. Step 3: Cross multiply
    524.72x = 786.30 × 350.79
  4. Step 4: Simplify right side
    524.72x = 275,820.49
  5. Step 5: Solve for x
    x = 275,820.49/524.72
  6. Step 6: Final answer
    x = 525.66

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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.