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Finding the Fourth Proportional to 1,533.91, 2,301 and 438.25

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Solution

The fourth proportional to 1,533.91, 2,301 and 438.25 is: 657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.91 : 2,301 = 438.25 : x
  2. Step 2: Convert to fraction form
    1,533.91/2,301 = 438.25/x
  3. Step 3: Cross multiply
    1,533.91x = 2,301 × 438.25
  4. Step 4: Simplify right side
    1,533.91x = 1,008,413.25
  5. Step 5: Solve for x
    x = 1,008,413.25/1,533.91
  6. Step 6: Final answer
    x = 657.41

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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.