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Finding the Fourth Proportional to 646.80, 969.71 and 322.40

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Solution

The fourth proportional to 646.80, 969.71 and 322.40 is: 483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 969.71 = 322.40 : x
  2. Step 2: Convert to fraction form
    646.80/969.71 = 322.40/x
  3. Step 3: Cross multiply
    646.80x = 969.71 × 322.40
  4. Step 4: Simplify right side
    646.80x = 312,628.04
  5. Step 5: Solve for x
    x = 312,628.04/646.80
  6. Step 6: Final answer
    x = 483.35

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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.