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Finding the Fourth Proportional to 525.58, 788.70 and 200.98

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Solution

The fourth proportional to 525.58, 788.70 and 200.98 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.58 : 788.70 = 200.98 : x
  2. Step 2: Convert to fraction form
    525.58/788.70 = 200.98/x
  3. Step 3: Cross multiply
    525.58x = 788.70 × 200.98
  4. Step 4: Simplify right side
    525.58x = 158,512.93
  5. Step 5: Solve for x
    x = 158,512.93/525.58
  6. Step 6: Final answer
    x = 301.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.