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Finding the Fourth Proportional to 356.42, 533.28 and 264.62

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Solution

The fourth proportional to 356.42, 533.28 and 264.62 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 533.28 = 264.62 : x
  2. Step 2: Convert to fraction form
    356.42/533.28 = 264.62/x
  3. Step 3: Cross multiply
    356.42x = 533.28 × 264.62
  4. Step 4: Simplify right side
    356.42x = 141,116.55
  5. Step 5: Solve for x
    x = 141,116.55/356.42
  6. Step 6: Final answer
    x = 395.93

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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.