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Finding the Fourth Proportional to 280.48, 385.68 and 214.24

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Solution

The fourth proportional to 280.48, 385.68 and 214.24 is: 294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 385.68 = 214.24 : x
  2. Step 2: Convert to fraction form
    280.48/385.68 = 214.24/x
  3. Step 3: Cross multiply
    280.48x = 385.68 × 214.24
  4. Step 4: Simplify right side
    280.48x = 82,628.08
  5. Step 5: Solve for x
    x = 82,628.08/280.48
  6. Step 6: Final answer
    x = 294.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.