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Finding the Fourth Proportional to 446.76, 615.06 and 363.60

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Solution

The fourth proportional to 446.76, 615.06 and 363.60 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 615.06 = 363.60 : x
  2. Step 2: Convert to fraction form
    446.76/615.06 = 363.60/x
  3. Step 3: Cross multiply
    446.76x = 615.06 × 363.60
  4. Step 4: Simplify right side
    446.76x = 223,635.82
  5. Step 5: Solve for x
    x = 223,635.82/446.76
  6. Step 6: Final answer
    x = 500.57

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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.