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Finding the Fourth Proportional to 977.45, 1,465.16 and 327.96

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Solution

The fourth proportional to 977.45, 1,465.16 and 327.96 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.45 : 1,465.16 = 327.96 : x
  2. Step 2: Convert to fraction form
    977.45/1,465.16 = 327.96/x
  3. Step 3: Cross multiply
    977.45x = 1,465.16 × 327.96
  4. Step 4: Simplify right side
    977.45x = 480,512.23
  5. Step 5: Solve for x
    x = 480,512.23/977.45
  6. Step 6: Final answer
    x = 491.60

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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.