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Finding the Fourth Proportional to 974.35, 1,461.67 and 358.92

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Solution

The fourth proportional to 974.35, 1,461.67 and 358.92 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.35 : 1,461.67 = 358.92 : x
  2. Step 2: Convert to fraction form
    974.35/1,461.67 = 358.92/x
  3. Step 3: Cross multiply
    974.35x = 1,461.67 × 358.92
  4. Step 4: Simplify right side
    974.35x = 524,621.70
  5. Step 5: Solve for x
    x = 524,621.70/974.35
  6. Step 6: Final answer
    x = 538.43

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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.