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Finding the Fourth Proportional to 355.84, 533.84 and 275.68

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Solution

The fourth proportional to 355.84, 533.84 and 275.68 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 533.84 = 275.68 : x
  2. Step 2: Convert to fraction form
    355.84/533.84 = 275.68/x
  3. Step 3: Cross multiply
    355.84x = 533.84 × 275.68
  4. Step 4: Simplify right side
    355.84x = 147,169.01
  5. Step 5: Solve for x
    x = 147,169.01/355.84
  6. Step 6: Final answer
    x = 413.58

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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.