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Finding the Fourth Proportional to 525.78, 725.17 and 357.86

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Solution

The fourth proportional to 525.78, 725.17 and 357.86 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 725.17 = 357.86 : x
  2. Step 2: Convert to fraction form
    525.78/725.17 = 357.86/x
  3. Step 3: Cross multiply
    525.78x = 725.17 × 357.86
  4. Step 4: Simplify right side
    525.78x = 259,510.25
  5. Step 5: Solve for x
    x = 259,510.25/525.78
  6. Step 6: Final answer
    x = 493.57

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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.