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Finding the Fourth Proportional to 979, 1,468.42 and 285.66

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Solution

The fourth proportional to 979, 1,468.42 and 285.66 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    979 : 1,468.42 = 285.66 : x
  2. Step 2: Convert to fraction form
    979/1,468.42 = 285.66/x
  3. Step 3: Cross multiply
    979x = 1,468.42 × 285.66
  4. Step 4: Simplify right side
    979x = 419,468.86
  5. Step 5: Solve for x
    x = 419,468.86/979
  6. Step 6: Final answer
    x = 428.47

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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.