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Finding the Fourth Proportional to 476.36, 714.69 and 321.87

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Solution

The fourth proportional to 476.36, 714.69 and 321.87 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 714.69 = 321.87 : x
  2. Step 2: Convert to fraction form
    476.36/714.69 = 321.87/x
  3. Step 3: Cross multiply
    476.36x = 714.69 × 321.87
  4. Step 4: Simplify right side
    476.36x = 230,037.27
  5. Step 5: Solve for x
    x = 230,037.27/476.36
  6. Step 6: Final answer
    x = 482.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.