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Finding the Fourth Proportional to 977.25, 1,465.97 and 327.99

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Solution

The fourth proportional to 977.25, 1,465.97 and 327.99 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.25 : 1,465.97 = 327.99 : x
  2. Step 2: Convert to fraction form
    977.25/1,465.97 = 327.99/x
  3. Step 3: Cross multiply
    977.25x = 1,465.97 × 327.99
  4. Step 4: Simplify right side
    977.25x = 480,821.86
  5. Step 5: Solve for x
    x = 480,821.86/977.25
  6. Step 6: Final answer
    x = 492.02

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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.