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Finding the Fourth Proportional to 353.28, 529.65 and 276.41

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Solution

The fourth proportional to 353.28, 529.65 and 276.41 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.28 : 529.65 = 276.41 : x
  2. Step 2: Convert to fraction form
    353.28/529.65 = 276.41/x
  3. Step 3: Cross multiply
    353.28x = 529.65 × 276.41
  4. Step 4: Simplify right side
    353.28x = 146,397.91
  5. Step 5: Solve for x
    x = 146,397.91/353.28
  6. Step 6: Final answer
    x = 414.40

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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.