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Finding the Fourth Proportional to 974.59, 1,462.24 and 358.69

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Solution

The fourth proportional to 974.59, 1,462.24 and 358.69 is: 538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.59 : 1,462.24 = 358.69 : x
  2. Step 2: Convert to fraction form
    974.59/1,462.24 = 358.69/x
  3. Step 3: Cross multiply
    974.59x = 1,462.24 × 358.69
  4. Step 4: Simplify right side
    974.59x = 524,493.62
  5. Step 5: Solve for x
    x = 524,493.62/974.59
  6. Step 6: Final answer
    x = 538.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.