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Finding the Fourth Proportional to 405.50, 557.82 and 355.48

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Solution

The fourth proportional to 405.50, 557.82 and 355.48 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 557.82 = 355.48 : x
  2. Step 2: Convert to fraction form
    405.50/557.82 = 355.48/x
  3. Step 3: Cross multiply
    405.50x = 557.82 × 355.48
  4. Step 4: Simplify right side
    405.50x = 198,295.60
  5. Step 5: Solve for x
    x = 198,295.60/405.50
  6. Step 6: Final answer
    x = 489.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.