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Finding the Fourth Proportional to 630.24, 945.24 and 322.26

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Solution

The fourth proportional to 630.24, 945.24 and 322.26 is: 483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.24 : 945.24 = 322.26 : x
  2. Step 2: Convert to fraction form
    630.24/945.24 = 322.26/x
  3. Step 3: Cross multiply
    630.24x = 945.24 × 322.26
  4. Step 4: Simplify right side
    630.24x = 304,613.04
  5. Step 5: Solve for x
    x = 304,613.04/630.24
  6. Step 6: Final answer
    x = 483.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.