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Finding the Fourth Proportional to 1,538.41, 2,308.01 and 442.75

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Solution

The fourth proportional to 1,538.41, 2,308.01 and 442.75 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.41 : 2,308.01 = 442.75 : x
  2. Step 2: Convert to fraction form
    1,538.41/2,308.01 = 442.75/x
  3. Step 3: Cross multiply
    1,538.41x = 2,308.01 × 442.75
  4. Step 4: Simplify right side
    1,538.41x = 1,021,871.43
  5. Step 5: Solve for x
    x = 1,021,871.43/1,538.41
  6. Step 6: Final answer
    x = 664.24

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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.