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Finding the Fourth Proportional to 922.25, 1,383.08 and 264.08

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Solution

The fourth proportional to 922.25, 1,383.08 and 264.08 is: 396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.25 : 1,383.08 = 264.08 : x
  2. Step 2: Convert to fraction form
    922.25/1,383.08 = 264.08/x
  3. Step 3: Cross multiply
    922.25x = 1,383.08 × 264.08
  4. Step 4: Simplify right side
    922.25x = 365,237.51
  5. Step 5: Solve for x
    x = 365,237.51/922.25
  6. Step 6: Final answer
    x = 396.03

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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.