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Finding the Fourth Proportional to 280.34, 384.45 and 276.02

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Solution

The fourth proportional to 280.34, 384.45 and 276.02 is: 378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.34 : 384.45 = 276.02 : x
  2. Step 2: Convert to fraction form
    280.34/384.45 = 276.02/x
  3. Step 3: Cross multiply
    280.34x = 384.45 × 276.02
  4. Step 4: Simplify right side
    280.34x = 106,114.51
  5. Step 5: Solve for x
    x = 106,114.51/280.34
  6. Step 6: Final answer
    x = 378.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.