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Finding the Fourth Proportional to 945.26, 1,417.94 and 329.01

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Solution

The fourth proportional to 945.26, 1,417.94 and 329.01 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.26 : 1,417.94 = 329.01 : x
  2. Step 2: Convert to fraction form
    945.26/1,417.94 = 329.01/x
  3. Step 3: Cross multiply
    945.26x = 1,417.94 × 329.01
  4. Step 4: Simplify right side
    945.26x = 466,521.75
  5. Step 5: Solve for x
    x = 466,521.75/945.26
  6. Step 6: Final answer
    x = 493.54

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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.