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Finding the Fourth Proportional to 653.00, 978.23 and 363.56

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Solution

The fourth proportional to 653.00, 978.23 and 363.56 is: 544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 978.23 = 363.56 : x
  2. Step 2: Convert to fraction form
    653.00/978.23 = 363.56/x
  3. Step 3: Cross multiply
    653.00x = 978.23 × 363.56
  4. Step 4: Simplify right side
    653.00x = 355,638.59
  5. Step 5: Solve for x
    x = 355,638.59/653.00
  6. Step 6: Final answer
    x = 544.63

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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.