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Finding the Fourth Proportional to 648.80, 973.56 and 302.30

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Solution

The fourth proportional to 648.80, 973.56 and 302.30 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.80 : 973.56 = 302.30 : x
  2. Step 2: Convert to fraction form
    648.80/973.56 = 302.30/x
  3. Step 3: Cross multiply
    648.80x = 973.56 × 302.30
  4. Step 4: Simplify right side
    648.80x = 294,307.19
  5. Step 5: Solve for x
    x = 294,307.19/648.80
  6. Step 6: Final answer
    x = 453.62

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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.