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Finding the Fourth Proportional to 380.47, 524.78 and 367.77

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Solution

The fourth proportional to 380.47, 524.78 and 367.77 is: 507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 524.78 = 367.77 : x
  2. Step 2: Convert to fraction form
    380.47/524.78 = 367.77/x
  3. Step 3: Cross multiply
    380.47x = 524.78 × 367.77
  4. Step 4: Simplify right side
    380.47x = 192,998.34
  5. Step 5: Solve for x
    x = 192,998.34/380.47
  6. Step 6: Final answer
    x = 507.26

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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.