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Finding the Fourth Proportional to 629.03, 942.17 and 384.82

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Solution

The fourth proportional to 629.03, 942.17 and 384.82 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.03 : 942.17 = 384.82 : x
  2. Step 2: Convert to fraction form
    629.03/942.17 = 384.82/x
  3. Step 3: Cross multiply
    629.03x = 942.17 × 384.82
  4. Step 4: Simplify right side
    629.03x = 362,565.86
  5. Step 5: Solve for x
    x = 362,565.86/629.03
  6. Step 6: Final answer
    x = 576.39

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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.