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Finding the Fourth Proportional to 1,453.52, 2,180.24 and 357.88

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Solution

The fourth proportional to 1,453.52, 2,180.24 and 357.88 is: 536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.52 : 2,180.24 = 357.88 : x
  2. Step 2: Convert to fraction form
    1,453.52/2,180.24 = 357.88/x
  3. Step 3: Cross multiply
    1,453.52x = 2,180.24 × 357.88
  4. Step 4: Simplify right side
    1,453.52x = 780,264.29
  5. Step 5: Solve for x
    x = 780,264.29/1,453.52
  6. Step 6: Final answer
    x = 536.81

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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.