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Finding the Fourth Proportional to 525.40, 786.66 and 268.36

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Solution

The fourth proportional to 525.40, 786.66 and 268.36 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 786.66 = 268.36 : x
  2. Step 2: Convert to fraction form
    525.40/786.66 = 268.36/x
  3. Step 3: Cross multiply
    525.40x = 786.66 × 268.36
  4. Step 4: Simplify right side
    525.40x = 211,108.08
  5. Step 5: Solve for x
    x = 211,108.08/525.40
  6. Step 6: Final answer
    x = 401.80

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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.