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Finding the Fourth Proportional to 483.15, 723.11 and 476.67

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Solution

The fourth proportional to 483.15, 723.11 and 476.67 is: 713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.15 : 723.11 = 476.67 : x
  2. Step 2: Convert to fraction form
    483.15/723.11 = 476.67/x
  3. Step 3: Cross multiply
    483.15x = 723.11 × 476.67
  4. Step 4: Simplify right side
    483.15x = 344,682.46
  5. Step 5: Solve for x
    x = 344,682.46/483.15
  6. Step 6: Final answer
    x = 713.41

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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.