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Finding the Fourth Proportional to 380.08, 524.10 and 286.93

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Solution

The fourth proportional to 380.08, 524.10 and 286.93 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 524.10 = 286.93 : x
  2. Step 2: Convert to fraction form
    380.08/524.10 = 286.93/x
  3. Step 3: Cross multiply
    380.08x = 524.10 × 286.93
  4. Step 4: Simplify right side
    380.08x = 150,380.01
  5. Step 5: Solve for x
    x = 150,380.01/380.08
  6. Step 6: Final answer
    x = 395.65

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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.