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Finding the Fourth Proportional to 1,453.72, 2,180.54 and 358.04

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Solution

The fourth proportional to 1,453.72, 2,180.54 and 358.04 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.72 : 2,180.54 = 358.04 : x
  2. Step 2: Convert to fraction form
    1,453.72/2,180.54 = 358.04/x
  3. Step 3: Cross multiply
    1,453.72x = 2,180.54 × 358.04
  4. Step 4: Simplify right side
    1,453.72x = 780,720.54
  5. Step 5: Solve for x
    x = 780,720.54/1,453.72
  6. Step 6: Final answer
    x = 537.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.