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Finding the Fourth Proportional to 628.26, 867.00 and 348.50

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Solution

The fourth proportional to 628.26, 867.00 and 348.50 is: 480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 867.00 = 348.50 : x
  2. Step 2: Convert to fraction form
    628.26/867.00 = 348.50/x
  3. Step 3: Cross multiply
    628.26x = 867.00 × 348.50
  4. Step 4: Simplify right side
    628.26x = 302,152.97
  5. Step 5: Solve for x
    x = 302,152.97/628.26
  6. Step 6: Final answer
    x = 480.94

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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.