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Finding the Fourth Proportional to 628.62, 867.44 and 366.64

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Solution

The fourth proportional to 628.62, 867.44 and 366.64 is: 505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 867.44 = 366.64 : x
  2. Step 2: Convert to fraction form
    628.62/867.44 = 366.64/x
  3. Step 3: Cross multiply
    628.62x = 867.44 × 366.64
  4. Step 4: Simplify right side
    628.62x = 318,038.20
  5. Step 5: Solve for x
    x = 318,038.20/628.62
  6. Step 6: Final answer
    x = 505.93

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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.