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Finding the Fourth Proportional to 952.54, 1,428.85 and 466

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Solution

The fourth proportional to 952.54, 1,428.85 and 466 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.54 : 1,428.85 = 466 : x
  2. Step 2: Convert to fraction form
    952.54/1,428.85 = 466/x
  3. Step 3: Cross multiply
    952.54x = 1,428.85 × 466
  4. Step 4: Simplify right side
    952.54x = 665,844.10
  5. Step 5: Solve for x
    x = 665,844.10/952.54
  6. Step 6: Final answer
    x = 699.02

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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.