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Finding the Fourth Proportional to 646.45, 968.72 and 281.04

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Solution

The fourth proportional to 646.45, 968.72 and 281.04 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 968.72 = 281.04 : x
  2. Step 2: Convert to fraction form
    646.45/968.72 = 281.04/x
  3. Step 3: Cross multiply
    646.45x = 968.72 × 281.04
  4. Step 4: Simplify right side
    646.45x = 272,247.66
  5. Step 5: Solve for x
    x = 272,247.66/646.45
  6. Step 6: Final answer
    x = 421.14

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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.