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Finding the Fourth Proportional to 420.62, 579.89 and 280.76

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Solution

The fourth proportional to 420.62, 579.89 and 280.76 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.62 : 579.89 = 280.76 : x
  2. Step 2: Convert to fraction form
    420.62/579.89 = 280.76/x
  3. Step 3: Cross multiply
    420.62x = 579.89 × 280.76
  4. Step 4: Simplify right side
    420.62x = 162,808.51
  5. Step 5: Solve for x
    x = 162,808.51/420.62
  6. Step 6: Final answer
    x = 387.07

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Why These Related Problems?

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