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Finding the Fourth Proportional to 974.66, 1,462.01 and 358.53

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Solution

The fourth proportional to 974.66, 1,462.01 and 358.53 is: 537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.66 : 1,462.01 = 358.53 : x
  2. Step 2: Convert to fraction form
    974.66/1,462.01 = 358.53/x
  3. Step 3: Cross multiply
    974.66x = 1,462.01 × 358.53
  4. Step 4: Simplify right side
    974.66x = 524,172.65
  5. Step 5: Solve for x
    x = 524,172.65/974.66
  6. Step 6: Final answer
    x = 537.80

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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.