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Finding the Fourth Proportional to 630.96, 945.40 and 384.23

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Solution

The fourth proportional to 630.96, 945.40 and 384.23 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.96 : 945.40 = 384.23 : x
  2. Step 2: Convert to fraction form
    630.96/945.40 = 384.23/x
  3. Step 3: Cross multiply
    630.96x = 945.40 × 384.23
  4. Step 4: Simplify right side
    630.96x = 363,247.72
  5. Step 5: Solve for x
    x = 363,247.72/630.96
  6. Step 6: Final answer
    x = 575.71

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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.