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Finding the Fourth Proportional to 628.62, 867.65 and 366.72

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Solution

The fourth proportional to 628.62, 867.65 and 366.72 is: 506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 867.65 = 366.72 : x
  2. Step 2: Convert to fraction form
    628.62/867.65 = 366.72/x
  3. Step 3: Cross multiply
    628.62x = 867.65 × 366.72
  4. Step 4: Simplify right side
    628.62x = 318,182.77
  5. Step 5: Solve for x
    x = 318,182.77/628.62
  6. Step 6: Final answer
    x = 506.16

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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.