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Finding the Fourth Proportional to 945.87, 1,417.23 and 329.24

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Solution

The fourth proportional to 945.87, 1,417.23 and 329.24 is: 493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.87 : 1,417.23 = 329.24 : x
  2. Step 2: Convert to fraction form
    945.87/1,417.23 = 329.24/x
  3. Step 3: Cross multiply
    945.87x = 1,417.23 × 329.24
  4. Step 4: Simplify right side
    945.87x = 466,601.72
  5. Step 5: Solve for x
    x = 466,601.72/945.87
  6. Step 6: Final answer
    x = 493.30

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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.