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Finding the Fourth Proportional to 628.29, 941.04 and 384.08

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Solution

The fourth proportional to 628.29, 941.04 and 384.08 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 941.04 = 384.08 : x
  2. Step 2: Convert to fraction form
    628.29/941.04 = 384.08/x
  3. Step 3: Cross multiply
    628.29x = 941.04 × 384.08
  4. Step 4: Simplify right side
    628.29x = 361,429.94
  5. Step 5: Solve for x
    x = 361,429.94/628.29
  6. Step 6: Final answer
    x = 575.26

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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.