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Finding the Fourth Proportional to 525.98, 789.08 and 266.01

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Solution

The fourth proportional to 525.98, 789.08 and 266.01 is: 399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.98 : 789.08 = 266.01 : x
  2. Step 2: Convert to fraction form
    525.98/789.08 = 266.01/x
  3. Step 3: Cross multiply
    525.98x = 789.08 × 266.01
  4. Step 4: Simplify right side
    525.98x = 209,901.84
  5. Step 5: Solve for x
    x = 209,901.84/525.98
  6. Step 6: Final answer
    x = 399.07

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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.