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Finding the Fourth Proportional to 653.04, 978.12 and 363.84

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Solution

The fourth proportional to 653.04, 978.12 and 363.84 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 978.12 = 363.84 : x
  2. Step 2: Convert to fraction form
    653.04/978.12 = 363.84/x
  3. Step 3: Cross multiply
    653.04x = 978.12 × 363.84
  4. Step 4: Simplify right side
    653.04x = 355,879.18
  5. Step 5: Solve for x
    x = 355,879.18/653.04
  6. Step 6: Final answer
    x = 544.96

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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.