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Finding the Fourth Proportional to 974.51, 1,461.81 and 281.10

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Solution

The fourth proportional to 974.51, 1,461.81 and 281.10 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.51 : 1,461.81 = 281.10 : x
  2. Step 2: Convert to fraction form
    974.51/1,461.81 = 281.10/x
  3. Step 3: Cross multiply
    974.51x = 1,461.81 × 281.10
  4. Step 4: Simplify right side
    974.51x = 410,914.79
  5. Step 5: Solve for x
    x = 410,914.79/974.51
  6. Step 6: Final answer
    x = 421.66

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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.