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Finding the Fourth Proportional to 588.54, 886.86 and 488.08

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Solution

The fourth proportional to 588.54, 886.86 and 488.08 is: 735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 886.86 = 488.08 : x
  2. Step 2: Convert to fraction form
    588.54/886.86 = 488.08/x
  3. Step 3: Cross multiply
    588.54x = 886.86 × 488.08
  4. Step 4: Simplify right side
    588.54x = 432,858.63
  5. Step 5: Solve for x
    x = 432,858.63/588.54
  6. Step 6: Final answer
    x = 735.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.