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Finding the Fourth Proportional to 588.12, 881.46 and 298.92

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Solution

The fourth proportional to 588.12, 881.46 and 298.92 is: 448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 881.46 = 298.92 : x
  2. Step 2: Convert to fraction form
    588.12/881.46 = 298.92/x
  3. Step 3: Cross multiply
    588.12x = 881.46 × 298.92
  4. Step 4: Simplify right side
    588.12x = 263,486.02
  5. Step 5: Solve for x
    x = 263,486.02/588.12
  6. Step 6: Final answer
    x = 448.01

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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.