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Finding the Fourth Proportional to 974.37, 1,461.51 and 358.03

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Solution

The fourth proportional to 974.37, 1,461.51 and 358.03 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.37 : 1,461.51 = 358.03 : x
  2. Step 2: Convert to fraction form
    974.37/1,461.51 = 358.03/x
  3. Step 3: Cross multiply
    974.37x = 1,461.51 × 358.03
  4. Step 4: Simplify right side
    974.37x = 523,264.87
  5. Step 5: Solve for x
    x = 523,264.87/974.37
  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.