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Finding the Fourth Proportional to 354.90, 531.54 and 277.74

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Solution

The fourth proportional to 354.90, 531.54 and 277.74 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 531.54 = 277.74 : x
  2. Step 2: Convert to fraction form
    354.90/531.54 = 277.74/x
  3. Step 3: Cross multiply
    354.90x = 531.54 × 277.74
  4. Step 4: Simplify right side
    354.90x = 147,629.92
  5. Step 5: Solve for x
    x = 147,629.92/354.90
  6. Step 6: Final answer
    x = 415.98

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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.