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Finding the Fourth Proportional to 446.68, 670.16 and 415.38

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Solution

The fourth proportional to 446.68, 670.16 and 415.38 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 670.16 = 415.38 : x
  2. Step 2: Convert to fraction form
    446.68/670.16 = 415.38/x
  3. Step 3: Cross multiply
    446.68x = 670.16 × 415.38
  4. Step 4: Simplify right side
    446.68x = 278,371.06
  5. Step 5: Solve for x
    x = 278,371.06/446.68
  6. Step 6: Final answer
    x = 623.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.