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Finding the Fourth Proportional to 356.41, 527.26 and 356.41

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Solution

The fourth proportional to 356.41, 527.26 and 356.41 is: 527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 527.26 = 356.41 : x
  2. Step 2: Convert to fraction form
    356.41/527.26 = 356.41/x
  3. Step 3: Cross multiply
    356.41x = 527.26 × 356.41
  4. Step 4: Simplify right side
    356.41x = 187,920.74
  5. Step 5: Solve for x
    x = 187,920.74/356.41
  6. Step 6: Final answer
    x = 527.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.