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Finding the Fourth Proportional to 630.42, 946.22 and 322.49

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Solution

The fourth proportional to 630.42, 946.22 and 322.49 is: 484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 946.22 = 322.49 : x
  2. Step 2: Convert to fraction form
    630.42/946.22 = 322.49/x
  3. Step 3: Cross multiply
    630.42x = 946.22 × 322.49
  4. Step 4: Simplify right side
    630.42x = 305,147.24
  5. Step 5: Solve for x
    x = 305,147.24/630.42
  6. Step 6: Final answer
    x = 484.04

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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.