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Finding the Fourth Proportional to 476.42, 713.66 and 280.94

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Solution

The fourth proportional to 476.42, 713.66 and 280.94 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 713.66 = 280.94 : x
  2. Step 2: Convert to fraction form
    476.42/713.66 = 280.94/x
  3. Step 3: Cross multiply
    476.42x = 713.66 × 280.94
  4. Step 4: Simplify right side
    476.42x = 200,495.64
  5. Step 5: Solve for x
    x = 200,495.64/476.42
  6. Step 6: Final answer
    x = 420.84

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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.