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Finding the Fourth Proportional to 446.35, 615.60 and 298.75

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Solution

The fourth proportional to 446.35, 615.60 and 298.75 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.35 : 615.60 = 298.75 : x
  2. Step 2: Convert to fraction form
    446.35/615.60 = 298.75/x
  3. Step 3: Cross multiply
    446.35x = 615.60 × 298.75
  4. Step 4: Simplify right side
    446.35x = 183,910.50
  5. Step 5: Solve for x
    x = 183,910.50/446.35
  6. Step 6: Final answer
    x = 412.03

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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.