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Finding the Fourth Proportional to 421.16, 580.79 and 380.14

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Solution

The fourth proportional to 421.16, 580.79 and 380.14 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 580.79 = 380.14 : x
  2. Step 2: Convert to fraction form
    421.16/580.79 = 380.14/x
  3. Step 3: Cross multiply
    421.16x = 580.79 × 380.14
  4. Step 4: Simplify right side
    421.16x = 220,776.71
  5. Step 5: Solve for x
    x = 220,776.71/421.16
  6. Step 6: Final answer
    x = 524.21

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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.