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Finding the Fourth Proportional to 646.51, 969.51 and 281.05

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Solution

The fourth proportional to 646.51, 969.51 and 281.05 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.51 : 969.51 = 281.05 : x
  2. Step 2: Convert to fraction form
    646.51/969.51 = 281.05/x
  3. Step 3: Cross multiply
    646.51x = 969.51 × 281.05
  4. Step 4: Simplify right side
    646.51x = 272,478.36
  5. Step 5: Solve for x
    x = 272,478.36/646.51
  6. Step 6: Final answer
    x = 421.46

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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.