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Finding the Fourth Proportional to 974.67, 1,461.14 and 358.23

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Solution

The fourth proportional to 974.67, 1,461.14 and 358.23 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.67 : 1,461.14 = 358.23 : x
  2. Step 2: Convert to fraction form
    974.67/1,461.14 = 358.23/x
  3. Step 3: Cross multiply
    974.67x = 1,461.14 × 358.23
  4. Step 4: Simplify right side
    974.67x = 523,424.18
  5. Step 5: Solve for x
    x = 523,424.18/974.67
  6. Step 6: Final answer
    x = 537.03

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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.