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Finding the Fourth Proportional to 653.43, 978.93 and 393.15

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Solution

The fourth proportional to 653.43, 978.93 and 393.15 is: 588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 978.93 = 393.15 : x
  2. Step 2: Convert to fraction form
    653.43/978.93 = 393.15/x
  3. Step 3: Cross multiply
    653.43x = 978.93 × 393.15
  4. Step 4: Simplify right side
    653.43x = 384,866.33
  5. Step 5: Solve for x
    x = 384,866.33/653.43
  6. Step 6: Final answer
    x = 588.99

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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.