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Finding the Fourth Proportional to 380.30, 524.58 and 225.02

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Solution

The fourth proportional to 380.30, 524.58 and 225.02 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 524.58 = 225.02 : x
  2. Step 2: Convert to fraction form
    380.30/524.58 = 225.02/x
  3. Step 3: Cross multiply
    380.30x = 524.58 × 225.02
  4. Step 4: Simplify right side
    380.30x = 118,040.99
  5. Step 5: Solve for x
    x = 118,040.99/380.30
  6. Step 6: Final answer
    x = 310.39

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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.