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Finding the Fourth Proportional to 445.40, 614.64 and 270.76

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Solution

The fourth proportional to 445.40, 614.64 and 270.76 is: 373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.40 : 614.64 = 270.76 : x
  2. Step 2: Convert to fraction form
    445.40/614.64 = 270.76/x
  3. Step 3: Cross multiply
    445.40x = 614.64 × 270.76
  4. Step 4: Simplify right side
    445.40x = 166,419.93
  5. Step 5: Solve for x
    x = 166,419.93/445.40
  6. Step 6: Final answer
    x = 373.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.