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Finding the Fourth Proportional to 979.33, 1,468.86 and 362.94

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Solution

The fourth proportional to 979.33, 1,468.86 and 362.94 is: 544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.33 : 1,468.86 = 362.94 : x
  2. Step 2: Convert to fraction form
    979.33/1,468.86 = 362.94/x
  3. Step 3: Cross multiply
    979.33x = 1,468.86 × 362.94
  4. Step 4: Simplify right side
    979.33x = 533,108.05
  5. Step 5: Solve for x
    x = 533,108.05/979.33
  6. Step 6: Final answer
    x = 544.36

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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.