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Finding the Fourth Proportional to 646.92, 969.80 and 317.68

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Solution

The fourth proportional to 646.92, 969.80 and 317.68 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 969.80 = 317.68 : x
  2. Step 2: Convert to fraction form
    646.92/969.80 = 317.68/x
  3. Step 3: Cross multiply
    646.92x = 969.80 × 317.68
  4. Step 4: Simplify right side
    646.92x = 308,079.63
  5. Step 5: Solve for x
    x = 308,079.63/646.92
  6. Step 6: Final answer
    x = 476.23

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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.