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Finding the Fourth Proportional to 474.22, 653.78 and 459.86

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Solution

The fourth proportional to 474.22, 653.78 and 459.86 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.22 : 653.78 = 459.86 : x
  2. Step 2: Convert to fraction form
    474.22/653.78 = 459.86/x
  3. Step 3: Cross multiply
    474.22x = 653.78 × 459.86
  4. Step 4: Simplify right side
    474.22x = 300,647.27
  5. Step 5: Solve for x
    x = 300,647.27/474.22
  6. Step 6: Final answer
    x = 633.98

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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.