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Finding the Fourth Proportional to 653.36, 900.96 and 456.44

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Solution

The fourth proportional to 653.36, 900.96 and 456.44 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 900.96 = 456.44 : x
  2. Step 2: Convert to fraction form
    653.36/900.96 = 456.44/x
  3. Step 3: Cross multiply
    653.36x = 900.96 × 456.44
  4. Step 4: Simplify right side
    653.36x = 411,234.18
  5. Step 5: Solve for x
    x = 411,234.18/653.36
  6. Step 6: Final answer
    x = 629.41

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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.