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Finding the Fourth Proportional to 628.83, 943.65 and 304.83

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Solution

The fourth proportional to 628.83, 943.65 and 304.83 is: 457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 943.65 = 304.83 : x
  2. Step 2: Convert to fraction form
    628.83/943.65 = 304.83/x
  3. Step 3: Cross multiply
    628.83x = 943.65 × 304.83
  4. Step 4: Simplify right side
    628.83x = 287,652.83
  5. Step 5: Solve for x
    x = 287,652.83/628.83
  6. Step 6: Final answer
    x = 457.44

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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.