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Finding the Fourth Proportional to 280.60, 419.64 and 212.16

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Solution

The fourth proportional to 280.60, 419.64 and 212.16 is: 317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.60 : 419.64 = 212.16 : x
  2. Step 2: Convert to fraction form
    280.60/419.64 = 212.16/x
  3. Step 3: Cross multiply
    280.60x = 419.64 × 212.16
  4. Step 4: Simplify right side
    280.60x = 89,030.82
  5. Step 5: Solve for x
    x = 89,030.82/280.60
  6. Step 6: Final answer
    x = 317.29

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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.