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Finding the Fourth Proportional to 646.02, 969.59 and 333.88

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Solution

The fourth proportional to 646.02, 969.59 and 333.88 is: 501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 969.59 = 333.88 : x
  2. Step 2: Convert to fraction form
    646.02/969.59 = 333.88/x
  3. Step 3: Cross multiply
    646.02x = 969.59 × 333.88
  4. Step 4: Simplify right side
    646.02x = 323,728.76
  5. Step 5: Solve for x
    x = 323,728.76/646.02
  6. Step 6: Final answer
    x = 501.11

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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.