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Finding the Fourth Proportional to 380.49, 524.83 and 264.03

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Solution

The fourth proportional to 380.49, 524.83 and 264.03 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 524.83 = 264.03 : x
  2. Step 2: Convert to fraction form
    380.49/524.83 = 264.03/x
  3. Step 3: Cross multiply
    380.49x = 524.83 × 264.03
  4. Step 4: Simplify right side
    380.49x = 138,570.86
  5. Step 5: Solve for x
    x = 138,570.86/380.49
  6. Step 6: Final answer
    x = 364.19

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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.