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Finding the Fourth Proportional to 380, 524.76 and 366.32

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Solution

The fourth proportional to 380, 524.76 and 366.32 is: 505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 524.76 = 366.32 : x
  2. Step 2: Convert to fraction form
    380/524.76 = 366.32/x
  3. Step 3: Cross multiply
    380x = 524.76 × 366.32
  4. Step 4: Simplify right side
    380x = 192,230.08
  5. Step 5: Solve for x
    x = 192,230.08/380
  6. Step 6: Final answer
    x = 505.87

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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.