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Finding the Fourth Proportional to 380.63, 525.23 and 256.25

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Solution

The fourth proportional to 380.63, 525.23 and 256.25 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 525.23 = 256.25 : x
  2. Step 2: Convert to fraction form
    380.63/525.23 = 256.25/x
  3. Step 3: Cross multiply
    380.63x = 525.23 × 256.25
  4. Step 4: Simplify right side
    380.63x = 134,588.91
  5. Step 5: Solve for x
    x = 134,588.91/380.63
  6. Step 6: Final answer
    x = 353.60

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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.