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Finding the Fourth Proportional to 646.08, 969.12 and 235.20

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Solution

The fourth proportional to 646.08, 969.12 and 235.20 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.08 : 969.12 = 235.20 : x
  2. Step 2: Convert to fraction form
    646.08/969.12 = 235.20/x
  3. Step 3: Cross multiply
    646.08x = 969.12 × 235.20
  4. Step 4: Simplify right side
    646.08x = 227,937.02
  5. Step 5: Solve for x
    x = 227,937.02/646.08
  6. Step 6: Final answer
    x = 352.80

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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.