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Finding the Fourth Proportional to 525.57, 725.13 and 301.50

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Solution

The fourth proportional to 525.57, 725.13 and 301.50 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 725.13 = 301.50 : x
  2. Step 2: Convert to fraction form
    525.57/725.13 = 301.50/x
  3. Step 3: Cross multiply
    525.57x = 725.13 × 301.50
  4. Step 4: Simplify right side
    525.57x = 218,626.70
  5. Step 5: Solve for x
    x = 218,626.70/525.57
  6. Step 6: Final answer
    x = 415.98

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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.