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Finding the Fourth Proportional to 952.74, 1,428.71 and 328.10

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Solution

The fourth proportional to 952.74, 1,428.71 and 328.10 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.74 : 1,428.71 = 328.10 : x
  2. Step 2: Convert to fraction form
    952.74/1,428.71 = 328.10/x
  3. Step 3: Cross multiply
    952.74x = 1,428.71 × 328.10
  4. Step 4: Simplify right side
    952.74x = 468,761.68
  5. Step 5: Solve for x
    x = 468,761.68/952.74
  6. Step 6: Final answer
    x = 492.01

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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.