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Finding the Fourth Proportional to 653.36, 979.68 and 328.56

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Solution

The fourth proportional to 653.36, 979.68 and 328.56 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 979.68 = 328.56 : x
  2. Step 2: Convert to fraction form
    653.36/979.68 = 328.56/x
  3. Step 3: Cross multiply
    653.36x = 979.68 × 328.56
  4. Step 4: Simplify right side
    653.36x = 321,883.66
  5. Step 5: Solve for x
    x = 321,883.66/653.36
  6. Step 6: Final answer
    x = 492.66

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1.5x scale

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.