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Finding the Fourth Proportional to 587.69, 881.54 and 202.94

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Solution

The fourth proportional to 587.69, 881.54 and 202.94 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 881.54 = 202.94 : x
  2. Step 2: Convert to fraction form
    587.69/881.54 = 202.94/x
  3. Step 3: Cross multiply
    587.69x = 881.54 × 202.94
  4. Step 4: Simplify right side
    587.69x = 178,899.73
  5. Step 5: Solve for x
    x = 178,899.73/587.69
  6. Step 6: Final answer
    x = 304.41

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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.