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Finding the Fourth Proportional to 421.12, 580.44 and 384.40

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Solution

The fourth proportional to 421.12, 580.44 and 384.40 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 580.44 = 384.40 : x
  2. Step 2: Convert to fraction form
    421.12/580.44 = 384.40/x
  3. Step 3: Cross multiply
    421.12x = 580.44 × 384.40
  4. Step 4: Simplify right side
    421.12x = 223,121.14
  5. Step 5: Solve for x
    x = 223,121.14/421.12
  6. Step 6: Final answer
    x = 529.83

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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.