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Finding the Fourth Proportional to 445.85, 615.14 and 288.48

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Solution

The fourth proportional to 445.85, 615.14 and 288.48 is: 398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.85 : 615.14 = 288.48 : x
  2. Step 2: Convert to fraction form
    445.85/615.14 = 288.48/x
  3. Step 3: Cross multiply
    445.85x = 615.14 × 288.48
  4. Step 4: Simplify right side
    445.85x = 177,457.53
  5. Step 5: Solve for x
    x = 177,457.53/445.85
  6. Step 6: Final answer
    x = 398.02

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Why These Related Problems?

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