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Finding the Fourth Proportional to 974.47, 1,461.84 and 358.48

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Solution

The fourth proportional to 974.47, 1,461.84 and 358.48 is: 537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.47 : 1,461.84 = 358.48 : x
  2. Step 2: Convert to fraction form
    974.47/1,461.84 = 358.48/x
  3. Step 3: Cross multiply
    974.47x = 1,461.84 × 358.48
  4. Step 4: Simplify right side
    974.47x = 524,040.40
  5. Step 5: Solve for x
    x = 524,040.40/974.47
  6. Step 6: Final answer
    x = 537.77

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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.