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Finding the Fourth Proportional to 356.44, 533.02 and 265.20

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Solution

The fourth proportional to 356.44, 533.02 and 265.20 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.44 : 533.02 = 265.20 : x
  2. Step 2: Convert to fraction form
    356.44/533.02 = 265.20/x
  3. Step 3: Cross multiply
    356.44x = 533.02 × 265.20
  4. Step 4: Simplify right side
    356.44x = 141,356.90
  5. Step 5: Solve for x
    x = 141,356.90/356.44
  6. Step 6: Final answer
    x = 396.58

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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.