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Finding the Fourth Proportional to 653.36, 979.44 and 283.16

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Solution

The fourth proportional to 653.36, 979.44 and 283.16 is: 424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 979.44 = 283.16 : x
  2. Step 2: Convert to fraction form
    653.36/979.44 = 283.16/x
  3. Step 3: Cross multiply
    653.36x = 979.44 × 283.16
  4. Step 4: Simplify right side
    653.36x = 277,338.23
  5. Step 5: Solve for x
    x = 277,338.23/653.36
  6. Step 6: Final answer
    x = 424.48

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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.