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Finding the Fourth Proportional to 287.30, 428.72 and 256.54

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Solution

The fourth proportional to 287.30, 428.72 and 256.54 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 428.72 = 256.54 : x
  2. Step 2: Convert to fraction form
    287.30/428.72 = 256.54/x
  3. Step 3: Cross multiply
    287.30x = 428.72 × 256.54
  4. Step 4: Simplify right side
    287.30x = 109,984.21
  5. Step 5: Solve for x
    x = 109,984.21/287.30
  6. Step 6: Final answer
    x = 382.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.