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Finding the Fourth Proportional to 648.86, 973.42 and 302.18

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Solution

The fourth proportional to 648.86, 973.42 and 302.18 is: 453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 973.42 = 302.18 : x
  2. Step 2: Convert to fraction form
    648.86/973.42 = 302.18/x
  3. Step 3: Cross multiply
    648.86x = 973.42 × 302.18
  4. Step 4: Simplify right side
    648.86x = 294,148.06
  5. Step 5: Solve for x
    x = 294,148.06/648.86
  6. Step 6: Final answer
    x = 453.33

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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.