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Finding the Fourth Proportional to 653.61, 980.36 and 379.53

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Solution

The fourth proportional to 653.61, 980.36 and 379.53 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.61 : 980.36 = 379.53 : x
  2. Step 2: Convert to fraction form
    653.61/980.36 = 379.53/x
  3. Step 3: Cross multiply
    653.61x = 980.36 × 379.53
  4. Step 4: Simplify right side
    653.61x = 372,076.03
  5. Step 5: Solve for x
    x = 372,076.03/653.61
  6. Step 6: Final answer
    x = 569.26

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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.