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Finding the Fourth Proportional to 974.49, 1,462.16 and 358.05

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Solution

The fourth proportional to 974.49, 1,462.16 and 358.05 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.49 : 1,462.16 = 358.05 : x
  2. Step 2: Convert to fraction form
    974.49/1,462.16 = 358.05/x
  3. Step 3: Cross multiply
    974.49x = 1,462.16 × 358.05
  4. Step 4: Simplify right side
    974.49x = 523,518.67
  5. Step 5: Solve for x
    x = 523,518.67/974.49
  6. Step 6: Final answer
    x = 537.22

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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.