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Finding the Fourth Proportional to 476.40, 709.02 and 466.80

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Solution

The fourth proportional to 476.40, 709.02 and 466.80 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 709.02 = 466.80 : x
  2. Step 2: Convert to fraction form
    476.40/709.02 = 466.80/x
  3. Step 3: Cross multiply
    476.40x = 709.02 × 466.80
  4. Step 4: Simplify right side
    476.40x = 330,970.54
  5. Step 5: Solve for x
    x = 330,970.54/476.40
  6. Step 6: Final answer
    x = 694.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.