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Finding the Fourth Proportional to 355.67, 532.47 and 264.77

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Solution

The fourth proportional to 355.67, 532.47 and 264.77 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.67 : 532.47 = 264.77 : x
  2. Step 2: Convert to fraction form
    355.67/532.47 = 264.77/x
  3. Step 3: Cross multiply
    355.67x = 532.47 × 264.77
  4. Step 4: Simplify right side
    355.67x = 140,982.08
  5. Step 5: Solve for x
    x = 140,982.08/355.67
  6. Step 6: Final answer
    x = 396.38

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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.