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Finding the Fourth Proportional to 587.58, 884.52 and 452.31

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Solution

The fourth proportional to 587.58, 884.52 and 452.31 is: 680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.58 : 884.52 = 452.31 : x
  2. Step 2: Convert to fraction form
    587.58/884.52 = 452.31/x
  3. Step 3: Cross multiply
    587.58x = 884.52 × 452.31
  4. Step 4: Simplify right side
    587.58x = 400,077.24
  5. Step 5: Solve for x
    x = 400,077.24/587.58
  6. Step 6: Final answer
    x = 680.89

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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.