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Finding the Fourth Proportional to 360.76, 540.06 and 256.28

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Solution

The fourth proportional to 360.76, 540.06 and 256.28 is: 383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.76 : 540.06 = 256.28 : x
  2. Step 2: Convert to fraction form
    360.76/540.06 = 256.28/x
  3. Step 3: Cross multiply
    360.76x = 540.06 × 256.28
  4. Step 4: Simplify right side
    360.76x = 138,406.58
  5. Step 5: Solve for x
    x = 138,406.58/360.76
  6. Step 6: Final answer
    x = 383.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.