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Finding the Fourth Proportional to 648.69, 973.23 and 302.23

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Solution

The fourth proportional to 648.69, 973.23 and 302.23 is: 453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 973.23 = 302.23 : x
  2. Step 2: Convert to fraction form
    648.69/973.23 = 302.23/x
  3. Step 3: Cross multiply
    648.69x = 973.23 × 302.23
  4. Step 4: Simplify right side
    648.69x = 294,139.30
  5. Step 5: Solve for x
    x = 294,139.30/648.69
  6. Step 6: Final answer
    x = 453.44

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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.