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Finding the Fourth Proportional to 354.42, 533.52 and 277.92

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Solution

The fourth proportional to 354.42, 533.52 and 277.92 is: 418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 533.52 = 277.92 : x
  2. Step 2: Convert to fraction form
    354.42/533.52 = 277.92/x
  3. Step 3: Cross multiply
    354.42x = 533.52 × 277.92
  4. Step 4: Simplify right side
    354.42x = 148,275.88
  5. Step 5: Solve for x
    x = 148,275.88/354.42
  6. Step 6: Final answer
    x = 418.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.