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Finding the Fourth Proportional to 380.64, 525.12 and 256.32

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Solution

The fourth proportional to 380.64, 525.12 and 256.32 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 525.12 = 256.32 : x
  2. Step 2: Convert to fraction form
    380.64/525.12 = 256.32/x
  3. Step 3: Cross multiply
    380.64x = 525.12 × 256.32
  4. Step 4: Simplify right side
    380.64x = 134,598.76
  5. Step 5: Solve for x
    x = 134,598.76/380.64
  6. Step 6: Final answer
    x = 353.61

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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.