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Finding the Fourth Proportional to 532.44, 734.64 and 366.60

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Solution

The fourth proportional to 532.44, 734.64 and 366.60 is: 505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.44 : 734.64 = 366.60 : x
  2. Step 2: Convert to fraction form
    532.44/734.64 = 366.60/x
  3. Step 3: Cross multiply
    532.44x = 734.64 × 366.60
  4. Step 4: Simplify right side
    532.44x = 269,319.02
  5. Step 5: Solve for x
    x = 269,319.02/532.44
  6. Step 6: Final answer
    x = 505.82

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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.