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Finding the Fourth Proportional to 616.41, 924.96 and 327.84

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Solution

The fourth proportional to 616.41, 924.96 and 327.84 is: 491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 924.96 = 327.84 : x
  2. Step 2: Convert to fraction form
    616.41/924.96 = 327.84/x
  3. Step 3: Cross multiply
    616.41x = 924.96 × 327.84
  4. Step 4: Simplify right side
    616.41x = 303,238.89
  5. Step 5: Solve for x
    x = 303,238.89/616.41
  6. Step 6: Final answer
    x = 491.94

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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.