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Finding the Fourth Proportional to 952.72, 1,429.16 and 466.16

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Solution

The fourth proportional to 952.72, 1,429.16 and 466.16 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.72 : 1,429.16 = 466.16 : x
  2. Step 2: Convert to fraction form
    952.72/1,429.16 = 466.16/x
  3. Step 3: Cross multiply
    952.72x = 1,429.16 × 466.16
  4. Step 4: Simplify right side
    952.72x = 666,217.23
  5. Step 5: Solve for x
    x = 666,217.23/952.72
  6. Step 6: Final answer
    x = 699.28

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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.