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Finding the Fourth Proportional to 532.72, 735.85 and 366.64

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Solution

The fourth proportional to 532.72, 735.85 and 366.64 is: 506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.72 : 735.85 = 366.64 : x
  2. Step 2: Convert to fraction form
    532.72/735.85 = 366.64/x
  3. Step 3: Cross multiply
    532.72x = 735.85 × 366.64
  4. Step 4: Simplify right side
    532.72x = 269,792.74
  5. Step 5: Solve for x
    x = 269,792.74/532.72
  6. Step 6: Final answer
    x = 506.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.