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Finding the Fourth Proportional to 628.82, 942.71 and 304.02

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Solution

The fourth proportional to 628.82, 942.71 and 304.02 is: 455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 942.71 = 304.02 : x
  2. Step 2: Convert to fraction form
    628.82/942.71 = 304.02/x
  3. Step 3: Cross multiply
    628.82x = 942.71 × 304.02
  4. Step 4: Simplify right side
    628.82x = 286,602.69
  5. Step 5: Solve for x
    x = 286,602.69/628.82
  6. Step 6: Final answer
    x = 455.78

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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.