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Finding the Fourth Proportional to 489.85, 676.53 and 459.32

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Solution

The fourth proportional to 489.85, 676.53 and 459.32 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.85 : 676.53 = 459.32 : x
  2. Step 2: Convert to fraction form
    489.85/676.53 = 459.32/x
  3. Step 3: Cross multiply
    489.85x = 676.53 × 459.32
  4. Step 4: Simplify right side
    489.85x = 310,742.89
  5. Step 5: Solve for x
    x = 310,742.89/489.85
  6. Step 6: Final answer
    x = 634.37

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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.