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Finding the Fourth Proportional to 355.14, 533.25 and 283.59

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Solution

The fourth proportional to 355.14, 533.25 and 283.59 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 533.25 = 283.59 : x
  2. Step 2: Convert to fraction form
    355.14/533.25 = 283.59/x
  3. Step 3: Cross multiply
    355.14x = 533.25 × 283.59
  4. Step 4: Simplify right side
    355.14x = 151,224.37
  5. Step 5: Solve for x
    x = 151,224.37/355.14
  6. Step 6: Final answer
    x = 425.82

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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.