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Finding the Fourth Proportional to 952.06, 1,428.28 and 335.78

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Solution

The fourth proportional to 952.06, 1,428.28 and 335.78 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.06 : 1,428.28 = 335.78 : x
  2. Step 2: Convert to fraction form
    952.06/1,428.28 = 335.78/x
  3. Step 3: Cross multiply
    952.06x = 1,428.28 × 335.78
  4. Step 4: Simplify right side
    952.06x = 479,587.86
  5. Step 5: Solve for x
    x = 479,587.86/952.06
  6. Step 6: Final answer
    x = 503.74

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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.