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Finding the Fourth Proportional to 454.89, 680.88 and 332.58

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Solution

The fourth proportional to 454.89, 680.88 and 332.58 is: 497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.89 : 680.88 = 332.58 : x
  2. Step 2: Convert to fraction form
    454.89/680.88 = 332.58/x
  3. Step 3: Cross multiply
    454.89x = 680.88 × 332.58
  4. Step 4: Simplify right side
    454.89x = 226,447.07
  5. Step 5: Solve for x
    x = 226,447.07/454.89
  6. Step 6: Final answer
    x = 497.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.