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Finding the Fourth Proportional to 588.16, 880.80 and 298.72

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Solution

The fourth proportional to 588.16, 880.80 and 298.72 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 880.80 = 298.72 : x
  2. Step 2: Convert to fraction form
    588.16/880.80 = 298.72/x
  3. Step 3: Cross multiply
    588.16x = 880.80 × 298.72
  4. Step 4: Simplify right side
    588.16x = 263,112.58
  5. Step 5: Solve for x
    x = 263,112.58/588.16
  6. Step 6: Final answer
    x = 447.35

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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.