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Finding the Fourth Proportional to 525.16, 786.54 and 362.44

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Solution

The fourth proportional to 525.16, 786.54 and 362.44 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 786.54 = 362.44 : x
  2. Step 2: Convert to fraction form
    525.16/786.54 = 362.44/x
  3. Step 3: Cross multiply
    525.16x = 786.54 × 362.44
  4. Step 4: Simplify right side
    525.16x = 285,073.56
  5. Step 5: Solve for x
    x = 285,073.56/525.16
  6. Step 6: Final answer
    x = 542.83

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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.