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Finding the Fourth Proportional to 646.40, 969.60 and 322.08

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Solution

The fourth proportional to 646.40, 969.60 and 322.08 is: 483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 969.60 = 322.08 : x
  2. Step 2: Convert to fraction form
    646.40/969.60 = 322.08/x
  3. Step 3: Cross multiply
    646.40x = 969.60 × 322.08
  4. Step 4: Simplify right side
    646.40x = 312,288.77
  5. Step 5: Solve for x
    x = 312,288.77/646.40
  6. Step 6: Final answer
    x = 483.12

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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.