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Finding the Fourth Proportional to 354.34, 532.32 and 277.42

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Solution

The fourth proportional to 354.34, 532.32 and 277.42 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.34 : 532.32 = 277.42 : x
  2. Step 2: Convert to fraction form
    354.34/532.32 = 277.42/x
  3. Step 3: Cross multiply
    354.34x = 532.32 × 277.42
  4. Step 4: Simplify right side
    354.34x = 147,676.21
  5. Step 5: Solve for x
    x = 147,676.21/354.34
  6. Step 6: Final answer
    x = 416.76

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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.