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Finding the Fourth Proportional to 646.30, 969.59 and 235.39

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Solution

The fourth proportional to 646.30, 969.59 and 235.39 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 969.59 = 235.39 : x
  2. Step 2: Convert to fraction form
    646.30/969.59 = 235.39/x
  3. Step 3: Cross multiply
    646.30x = 969.59 × 235.39
  4. Step 4: Simplify right side
    646.30x = 228,231.79
  5. Step 5: Solve for x
    x = 228,231.79/646.30
  6. Step 6: Final answer
    x = 353.14

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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.