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Finding the Fourth Proportional to 1,608.28, 2,412.24 and 438.40

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Solution

The fourth proportional to 1,608.28, 2,412.24 and 438.40 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.28 : 2,412.24 = 438.40 : x
  2. Step 2: Convert to fraction form
    1,608.28/2,412.24 = 438.40/x
  3. Step 3: Cross multiply
    1,608.28x = 2,412.24 × 438.40
  4. Step 4: Simplify right side
    1,608.28x = 1,057,526.02
  5. Step 5: Solve for x
    x = 1,057,526.02/1,608.28
  6. Step 6: Final answer
    x = 657.55

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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.