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Finding the Fourth Proportional to 445.80, 615.44 and 296.64

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Solution

The fourth proportional to 445.80, 615.44 and 296.64 is: 409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.80 : 615.44 = 296.64 : x
  2. Step 2: Convert to fraction form
    445.80/615.44 = 296.64/x
  3. Step 3: Cross multiply
    445.80x = 615.44 × 296.64
  4. Step 4: Simplify right side
    445.80x = 182,564.12
  5. Step 5: Solve for x
    x = 182,564.12/445.80
  6. Step 6: Final answer
    x = 409.52

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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.