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Finding the Fourth Proportional to 445.69, 615.05 and 298.67

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Solution

The fourth proportional to 445.69, 615.05 and 298.67 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.69 : 615.05 = 298.67 : x
  2. Step 2: Convert to fraction form
    445.69/615.05 = 298.67/x
  3. Step 3: Cross multiply
    445.69x = 615.05 × 298.67
  4. Step 4: Simplify right side
    445.69x = 183,698.15
  5. Step 5: Solve for x
    x = 183,698.15/445.69
  6. Step 6: Final answer
    x = 412.17

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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.