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Finding the Fourth Proportional to 380.42, 524.99 and 223.02

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Solution

The fourth proportional to 380.42, 524.99 and 223.02 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.42 : 524.99 = 223.02 : x
  2. Step 2: Convert to fraction form
    380.42/524.99 = 223.02/x
  3. Step 3: Cross multiply
    380.42x = 524.99 × 223.02
  4. Step 4: Simplify right side
    380.42x = 117,083.27
  5. Step 5: Solve for x
    x = 117,083.27/380.42
  6. Step 6: Final answer
    x = 307.77

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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.