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Finding the Fourth Proportional to 318.36, 476.82 and 210

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Solution

The fourth proportional to 318.36, 476.82 and 210 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.36 : 476.82 = 210 : x
  2. Step 2: Convert to fraction form
    318.36/476.82 = 210/x
  3. Step 3: Cross multiply
    318.36x = 476.82 × 210
  4. Step 4: Simplify right side
    318.36x = 100,132.20
  5. Step 5: Solve for x
    x = 100,132.20/318.36
  6. Step 6: Final answer
    x = 314.53

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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.