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Finding the Fourth Proportional to 280.66, 420.19 and 278.61

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Solution

The fourth proportional to 280.66, 420.19 and 278.61 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 420.19 = 278.61 : x
  2. Step 2: Convert to fraction form
    280.66/420.19 = 278.61/x
  3. Step 3: Cross multiply
    280.66x = 420.19 × 278.61
  4. Step 4: Simplify right side
    280.66x = 117,069.14
  5. Step 5: Solve for x
    x = 117,069.14/280.66
  6. Step 6: Final answer
    x = 417.12

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Why These Related Problems?

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