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Finding the Fourth Proportional to 588.05, 881.30 and 280.01

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Solution

The fourth proportional to 588.05, 881.30 and 280.01 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 881.30 = 280.01 : x
  2. Step 2: Convert to fraction form
    588.05/881.30 = 280.01/x
  3. Step 3: Cross multiply
    588.05x = 881.30 × 280.01
  4. Step 4: Simplify right side
    588.05x = 246,767.01
  5. Step 5: Solve for x
    x = 246,767.01/588.05
  6. Step 6: Final answer
    x = 419.64

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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.