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Finding the Fourth Proportional to 587.09, 880.43 and 197.03

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Solution

The fourth proportional to 587.09, 880.43 and 197.03 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 880.43 = 197.03 : x
  2. Step 2: Convert to fraction form
    587.09/880.43 = 197.03/x
  3. Step 3: Cross multiply
    587.09x = 880.43 × 197.03
  4. Step 4: Simplify right side
    587.09x = 173,465.74
  5. Step 5: Solve for x
    x = 173,465.74/587.09
  6. Step 6: Final answer
    x = 295.47

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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.