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Finding the Fourth Proportional to 525.24, 786.78 and 294.12

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Solution

The fourth proportional to 525.24, 786.78 and 294.12 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 786.78 = 294.12 : x
  2. Step 2: Convert to fraction form
    525.24/786.78 = 294.12/x
  3. Step 3: Cross multiply
    525.24x = 786.78 × 294.12
  4. Step 4: Simplify right side
    525.24x = 231,407.73
  5. Step 5: Solve for x
    x = 231,407.73/525.24
  6. Step 6: Final answer
    x = 440.58

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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.