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Finding the Fourth Proportional to 979.33, 1,468.54 and 363.02

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Solution

The fourth proportional to 979.33, 1,468.54 and 363.02 is: 544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.33 : 1,468.54 = 363.02 : x
  2. Step 2: Convert to fraction form
    979.33/1,468.54 = 363.02/x
  3. Step 3: Cross multiply
    979.33x = 1,468.54 × 363.02
  4. Step 4: Simplify right side
    979.33x = 533,115.35
  5. Step 5: Solve for x
    x = 533,115.35/979.33
  6. Step 6: Final answer
    x = 544.37

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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.