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Finding the Fourth Proportional to 952.92, 1,429.16 and 303.53

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Solution

The fourth proportional to 952.92, 1,429.16 and 303.53 is: 455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.92 : 1,429.16 = 303.53 : x
  2. Step 2: Convert to fraction form
    952.92/1,429.16 = 303.53/x
  3. Step 3: Cross multiply
    952.92x = 1,429.16 × 303.53
  4. Step 4: Simplify right side
    952.92x = 433,784.27
  5. Step 5: Solve for x
    x = 433,784.27/952.92
  6. Step 6: Final answer
    x = 455.22

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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.