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Finding the Fourth Proportional to 474.96, 655.48 and 459.84

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Solution

The fourth proportional to 474.96, 655.48 and 459.84 is: 634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.96 : 655.48 = 459.84 : x
  2. Step 2: Convert to fraction form
    474.96/655.48 = 459.84/x
  3. Step 3: Cross multiply
    474.96x = 655.48 × 459.84
  4. Step 4: Simplify right side
    474.96x = 301,415.92
  5. Step 5: Solve for x
    x = 301,415.92/474.96
  6. Step 6: Final answer
    x = 634.61

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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.