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Finding the Fourth Proportional to 473.82, 650.54 and 445.02

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Solution

The fourth proportional to 473.82, 650.54 and 445.02 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.82 : 650.54 = 445.02 : x
  2. Step 2: Convert to fraction form
    473.82/650.54 = 445.02/x
  3. Step 3: Cross multiply
    473.82x = 650.54 × 445.02
  4. Step 4: Simplify right side
    473.82x = 289,501.09
  5. Step 5: Solve for x
    x = 289,501.09/473.82
  6. Step 6: Final answer
    x = 610.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.