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Finding the Fourth Proportional to 975.84, 1,462.64 and 398

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Solution

The fourth proportional to 975.84, 1,462.64 and 398 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,462.64 = 398 : x
  2. Step 2: Convert to fraction form
    975.84/1,462.64 = 398/x
  3. Step 3: Cross multiply
    975.84x = 1,462.64 × 398
  4. Step 4: Simplify right side
    975.84x = 582,130.72
  5. Step 5: Solve for x
    x = 582,130.72/975.84
  6. Step 6: Final answer
    x = 596.54

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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.