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Finding the Fourth Proportional to 525.64, 725.33 and 301.57

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Solution

The fourth proportional to 525.64, 725.33 and 301.57 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 725.33 = 301.57 : x
  2. Step 2: Convert to fraction form
    525.64/725.33 = 301.57/x
  3. Step 3: Cross multiply
    525.64x = 725.33 × 301.57
  4. Step 4: Simplify right side
    525.64x = 218,739.94
  5. Step 5: Solve for x
    x = 218,739.94/525.64
  6. Step 6: Final answer
    x = 416.14

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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.