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Finding the Fourth Proportional to 280.04, 419.31 and 224.93

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Solution

The fourth proportional to 280.04, 419.31 and 224.93 is: 336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.04 : 419.31 = 224.93 : x
  2. Step 2: Convert to fraction form
    280.04/419.31 = 224.93/x
  3. Step 3: Cross multiply
    280.04x = 419.31 × 224.93
  4. Step 4: Simplify right side
    280.04x = 94,313.30
  5. Step 5: Solve for x
    x = 94,313.30/280.04
  6. Step 6: Final answer
    x = 336.79

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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.