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Finding the Fourth Proportional to 525.87, 725.77 and 301.89

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Solution

The fourth proportional to 525.87, 725.77 and 301.89 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 725.77 = 301.89 : x
  2. Step 2: Convert to fraction form
    525.87/725.77 = 301.89/x
  3. Step 3: Cross multiply
    525.87x = 725.77 × 301.89
  4. Step 4: Simplify right side
    525.87x = 219,101.95
  5. Step 5: Solve for x
    x = 219,101.95/525.87
  6. Step 6: Final answer
    x = 416.65

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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.