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Finding the Fourth Proportional to 977.03, 1,465.23 and 327.61

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Solution

The fourth proportional to 977.03, 1,465.23 and 327.61 is: 491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.03 : 1,465.23 = 327.61 : x
  2. Step 2: Convert to fraction form
    977.03/1,465.23 = 327.61/x
  3. Step 3: Cross multiply
    977.03x = 1,465.23 × 327.61
  4. Step 4: Simplify right side
    977.03x = 480,020.34
  5. Step 5: Solve for x
    x = 480,020.34/977.03
  6. Step 6: Final answer
    x = 491.31

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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.