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Finding the Fourth Proportional to 653.38, 980.43 and 364.98

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Solution

The fourth proportional to 653.38, 980.43 and 364.98 is: 547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 980.43 = 364.98 : x
  2. Step 2: Convert to fraction form
    653.38/980.43 = 364.98/x
  3. Step 3: Cross multiply
    653.38x = 980.43 × 364.98
  4. Step 4: Simplify right side
    653.38x = 357,837.34
  5. Step 5: Solve for x
    x = 357,837.34/653.38
  6. Step 6: Final answer
    x = 547.67

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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.