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Finding the Fourth Proportional to 952.14, 1,428.49 and 302.86

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Solution

The fourth proportional to 952.14, 1,428.49 and 302.86 is: 454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,428.49 = 302.86 : x
  2. Step 2: Convert to fraction form
    952.14/1,428.49 = 302.86/x
  3. Step 3: Cross multiply
    952.14x = 1,428.49 × 302.86
  4. Step 4: Simplify right side
    952.14x = 432,632.48
  5. Step 5: Solve for x
    x = 432,632.48/952.14
  6. Step 6: Final answer
    x = 454.38

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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.