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Finding the Fourth Proportional to 628.47, 867.21 and 362.83

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Solution

The fourth proportional to 628.47, 867.21 and 362.83 is: 500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 867.21 = 362.83 : x
  2. Step 2: Convert to fraction form
    628.47/867.21 = 362.83/x
  3. Step 3: Cross multiply
    628.47x = 867.21 × 362.83
  4. Step 4: Simplify right side
    628.47x = 314,651.16
  5. Step 5: Solve for x
    x = 314,651.16/628.47
  6. Step 6: Final answer
    x = 500.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.