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Finding the Fourth Proportional to 653.18, 900.48 and 443.03

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Solution

The fourth proportional to 653.18, 900.48 and 443.03 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 900.48 = 443.03 : x
  2. Step 2: Convert to fraction form
    653.18/900.48 = 443.03/x
  3. Step 3: Cross multiply
    653.18x = 900.48 × 443.03
  4. Step 4: Simplify right side
    653.18x = 398,939.65
  5. Step 5: Solve for x
    x = 398,939.65/653.18
  6. Step 6: Final answer
    x = 610.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.