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Finding the Fourth Proportional to 653.43, 978.78 and 328.14

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Solution

The fourth proportional to 653.43, 978.78 and 328.14 is: 491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 978.78 = 328.14 : x
  2. Step 2: Convert to fraction form
    653.43/978.78 = 328.14/x
  3. Step 3: Cross multiply
    653.43x = 978.78 × 328.14
  4. Step 4: Simplify right side
    653.43x = 321,176.87
  5. Step 5: Solve for x
    x = 321,176.87/653.43
  6. Step 6: Final answer
    x = 491.52

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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.