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Finding the Fourth Proportional to 446.76, 670.14 and 411.53

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Solution

The fourth proportional to 446.76, 670.14 and 411.53 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 670.14 = 411.53 : x
  2. Step 2: Convert to fraction form
    446.76/670.14 = 411.53/x
  3. Step 3: Cross multiply
    446.76x = 670.14 × 411.53
  4. Step 4: Simplify right side
    446.76x = 275,779.36
  5. Step 5: Solve for x
    x = 275,779.36/446.76
  6. Step 6: Final answer
    x = 617.29

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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.