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Finding the Fourth Proportional to 653.26, 900.90 and 440.20

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Solution

The fourth proportional to 653.26, 900.90 and 440.20 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.26 : 900.90 = 440.20 : x
  2. Step 2: Convert to fraction form
    653.26/900.90 = 440.20/x
  3. Step 3: Cross multiply
    653.26x = 900.90 × 440.20
  4. Step 4: Simplify right side
    653.26x = 396,576.18
  5. Step 5: Solve for x
    x = 396,576.18/653.26
  6. Step 6: Final answer
    x = 607.07

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Why These Related Problems?

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