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Finding the Fourth Proportional to 954.41, 1,431.77 and 329.53

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Solution

The fourth proportional to 954.41, 1,431.77 and 329.53 is: 494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.41 : 1,431.77 = 329.53 : x
  2. Step 2: Convert to fraction form
    954.41/1,431.77 = 329.53/x
  3. Step 3: Cross multiply
    954.41x = 1,431.77 × 329.53
  4. Step 4: Simplify right side
    954.41x = 471,814.75
  5. Step 5: Solve for x
    x = 471,814.75/954.41
  6. Step 6: Final answer
    x = 494.35

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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.