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Finding the Fourth Proportional to 476.27, 714.70 and 411.72

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Solution

The fourth proportional to 476.27, 714.70 and 411.72 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.27 : 714.70 = 411.72 : x
  2. Step 2: Convert to fraction form
    476.27/714.70 = 411.72/x
  3. Step 3: Cross multiply
    476.27x = 714.70 × 411.72
  4. Step 4: Simplify right side
    476.27x = 294,256.28
  5. Step 5: Solve for x
    x = 294,256.28/476.27
  6. Step 6: Final answer
    x = 617.84

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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.