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Finding the Fourth Proportional to 587.50, 880.86 and 258.44

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Solution

The fourth proportional to 587.50, 880.86 and 258.44 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 880.86 = 258.44 : x
  2. Step 2: Convert to fraction form
    587.50/880.86 = 258.44/x
  3. Step 3: Cross multiply
    587.50x = 880.86 × 258.44
  4. Step 4: Simplify right side
    587.50x = 227,649.52
  5. Step 5: Solve for x
    x = 227,649.52/587.50
  6. Step 6: Final answer
    x = 387.49

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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.