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Finding the Fourth Proportional to 979.29, 1,468.43 and 362.98

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Solution

The fourth proportional to 979.29, 1,468.43 and 362.98 is: 544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.29 : 1,468.43 = 362.98 : x
  2. Step 2: Convert to fraction form
    979.29/1,468.43 = 362.98/x
  3. Step 3: Cross multiply
    979.29x = 1,468.43 × 362.98
  4. Step 4: Simplify right side
    979.29x = 533,012.10
  5. Step 5: Solve for x
    x = 533,012.10/979.29
  6. Step 6: Final answer
    x = 544.28

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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.