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Finding the Fourth Proportional to 356.31, 533.36 and 264.78

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Solution

The fourth proportional to 356.31, 533.36 and 264.78 is: 396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.31 : 533.36 = 264.78 : x
  2. Step 2: Convert to fraction form
    356.31/533.36 = 264.78/x
  3. Step 3: Cross multiply
    356.31x = 533.36 × 264.78
  4. Step 4: Simplify right side
    356.31x = 141,223.72
  5. Step 5: Solve for x
    x = 141,223.72/356.31
  6. Step 6: Final answer
    x = 396.35

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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.