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Finding the Fourth Proportional to 352.84, 529.66 and 276.42

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Solution

The fourth proportional to 352.84, 529.66 and 276.42 is: 414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.84 : 529.66 = 276.42 : x
  2. Step 2: Convert to fraction form
    352.84/529.66 = 276.42/x
  3. Step 3: Cross multiply
    352.84x = 529.66 × 276.42
  4. Step 4: Simplify right side
    352.84x = 146,408.62
  5. Step 5: Solve for x
    x = 146,408.62/352.84
  6. Step 6: Final answer
    x = 414.94

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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.