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Finding the Fourth Proportional to 357.36, 533.74 and 271.60

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Solution

The fourth proportional to 357.36, 533.74 and 271.60 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.36 : 533.74 = 271.60 : x
  2. Step 2: Convert to fraction form
    357.36/533.74 = 271.60/x
  3. Step 3: Cross multiply
    357.36x = 533.74 × 271.60
  4. Step 4: Simplify right side
    357.36x = 144,963.78
  5. Step 5: Solve for x
    x = 144,963.78/357.36
  6. Step 6: Final answer
    x = 405.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.