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Finding the Fourth Proportional to 380.34, 524.70 and 225

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Solution

The fourth proportional to 380.34, 524.70 and 225 is: 310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 524.70 = 225 : x
  2. Step 2: Convert to fraction form
    380.34/524.70 = 225/x
  3. Step 3: Cross multiply
    380.34x = 524.70 × 225
  4. Step 4: Simplify right side
    380.34x = 118,057.50
  5. Step 5: Solve for x
    x = 118,057.50/380.34
  6. Step 6: Final answer
    x = 310.40

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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.