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Finding the Fourth Proportional to 952.90, 1,428.72 and 466.36

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Solution

The fourth proportional to 952.90, 1,428.72 and 466.36 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.90 : 1,428.72 = 466.36 : x
  2. Step 2: Convert to fraction form
    952.90/1,428.72 = 466.36/x
  3. Step 3: Cross multiply
    952.90x = 1,428.72 × 466.36
  4. Step 4: Simplify right side
    952.90x = 666,297.86
  5. Step 5: Solve for x
    x = 666,297.86/952.90
  6. Step 6: Final answer
    x = 699.23

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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.