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Finding the Fourth Proportional to 628.91, 943.54 and 304.28

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Solution

The fourth proportional to 628.91, 943.54 and 304.28 is: 456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.91 : 943.54 = 304.28 : x
  2. Step 2: Convert to fraction form
    628.91/943.54 = 304.28/x
  3. Step 3: Cross multiply
    628.91x = 943.54 × 304.28
  4. Step 4: Simplify right side
    628.91x = 287,094.11
  5. Step 5: Solve for x
    x = 287,094.11/628.91
  6. Step 6: Final answer
    x = 456.49

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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.