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Finding the Fourth Proportional to 653.07, 979.08 and 378.84

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Solution

The fourth proportional to 653.07, 979.08 and 378.84 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.07 : 979.08 = 378.84 : x
  2. Step 2: Convert to fraction form
    653.07/979.08 = 378.84/x
  3. Step 3: Cross multiply
    653.07x = 979.08 × 378.84
  4. Step 4: Simplify right side
    653.07x = 370,914.67
  5. Step 5: Solve for x
    x = 370,914.67/653.07
  6. Step 6: Final answer
    x = 567.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.