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Finding the Fourth Proportional to 525.78, 725.94 and 415.80

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Solution

The fourth proportional to 525.78, 725.94 and 415.80 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 725.94 = 415.80 : x
  2. Step 2: Convert to fraction form
    525.78/725.94 = 415.80/x
  3. Step 3: Cross multiply
    525.78x = 725.94 × 415.80
  4. Step 4: Simplify right side
    525.78x = 301,845.85
  5. Step 5: Solve for x
    x = 301,845.85/525.78
  6. Step 6: Final answer
    x = 574.09

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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.