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Finding the Fourth Proportional to 356.49, 533.67 and 265.56

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Solution

The fourth proportional to 356.49, 533.67 and 265.56 is: 397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.49 : 533.67 = 265.56 : x
  2. Step 2: Convert to fraction form
    356.49/533.67 = 265.56/x
  3. Step 3: Cross multiply
    356.49x = 533.67 × 265.56
  4. Step 4: Simplify right side
    356.49x = 141,721.41
  5. Step 5: Solve for x
    x = 141,721.41/356.49
  6. Step 6: Final answer
    x = 397.55

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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.