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Finding the Fourth Proportional to 653.60, 979.93 and 328.73

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Solution

The fourth proportional to 653.60, 979.93 and 328.73 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 979.93 = 328.73 : x
  2. Step 2: Convert to fraction form
    653.60/979.93 = 328.73/x
  3. Step 3: Cross multiply
    653.60x = 979.93 × 328.73
  4. Step 4: Simplify right side
    653.60x = 322,132.39
  5. Step 5: Solve for x
    x = 322,132.39/653.60
  6. Step 6: Final answer
    x = 492.86

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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.