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Finding the Fourth Proportional to 449.60, 620.52 and 420.32

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Solution

The fourth proportional to 449.60, 620.52 and 420.32 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 620.52 = 420.32 : x
  2. Step 2: Convert to fraction form
    449.60/620.52 = 420.32/x
  3. Step 3: Cross multiply
    449.60x = 620.52 × 420.32
  4. Step 4: Simplify right side
    449.60x = 260,816.97
  5. Step 5: Solve for x
    x = 260,816.97/449.60
  6. Step 6: Final answer
    x = 580.11

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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.