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Finding the Fourth Proportional to 421.44, 580.96 and 362.16

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Solution

The fourth proportional to 421.44, 580.96 and 362.16 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 580.96 = 362.16 : x
  2. Step 2: Convert to fraction form
    421.44/580.96 = 362.16/x
  3. Step 3: Cross multiply
    421.44x = 580.96 × 362.16
  4. Step 4: Simplify right side
    421.44x = 210,400.47
  5. Step 5: Solve for x
    x = 210,400.47/421.44
  6. Step 6: Final answer
    x = 499.24

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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.