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Finding the Fourth Proportional to 653.19, 979.93 and 324.31

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Solution

The fourth proportional to 653.19, 979.93 and 324.31 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.19 : 979.93 = 324.31 : x
  2. Step 2: Convert to fraction form
    653.19/979.93 = 324.31/x
  3. Step 3: Cross multiply
    653.19x = 979.93 × 324.31
  4. Step 4: Simplify right side
    653.19x = 317,802.73
  5. Step 5: Solve for x
    x = 317,802.73/653.19
  6. Step 6: Final answer
    x = 486.54

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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.