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Finding the Fourth Proportional to 588.02, 881.77 and 314.05

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Solution

The fourth proportional to 588.02, 881.77 and 314.05 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 881.77 = 314.05 : x
  2. Step 2: Convert to fraction form
    588.02/881.77 = 314.05/x
  3. Step 3: Cross multiply
    588.02x = 881.77 × 314.05
  4. Step 4: Simplify right side
    588.02x = 276,919.87
  5. Step 5: Solve for x
    x = 276,919.87/588.02
  6. Step 6: Final answer
    x = 470.94

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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.