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Finding the Fourth Proportional to 446.14, 615.60 and 410.30

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Solution

The fourth proportional to 446.14, 615.60 and 410.30 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.14 : 615.60 = 410.30 : x
  2. Step 2: Convert to fraction form
    446.14/615.60 = 410.30/x
  3. Step 3: Cross multiply
    446.14x = 615.60 × 410.30
  4. Step 4: Simplify right side
    446.14x = 252,580.68
  5. Step 5: Solve for x
    x = 252,580.68/446.14
  6. Step 6: Final answer
    x = 566.15

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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.