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Finding the Fourth Proportional to 525.87, 788.19 and 266.06

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Solution

The fourth proportional to 525.87, 788.19 and 266.06 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 788.19 = 266.06 : x
  2. Step 2: Convert to fraction form
    525.87/788.19 = 266.06/x
  3. Step 3: Cross multiply
    525.87x = 788.19 × 266.06
  4. Step 4: Simplify right side
    525.87x = 209,705.83
  5. Step 5: Solve for x
    x = 209,705.83/525.87
  6. Step 6: Final answer
    x = 398.78

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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.