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Finding the Fourth Proportional to 525.50, 725.20 and 301.46

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Solution

The fourth proportional to 525.50, 725.20 and 301.46 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.50 : 725.20 = 301.46 : x
  2. Step 2: Convert to fraction form
    525.50/725.20 = 301.46/x
  3. Step 3: Cross multiply
    525.50x = 725.20 × 301.46
  4. Step 4: Simplify right side
    525.50x = 218,618.79
  5. Step 5: Solve for x
    x = 218,618.79/525.50
  6. Step 6: Final answer
    x = 416.02

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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.