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Finding the Fourth Proportional to 587.16, 809.52 and 421.44

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Solution

The fourth proportional to 587.16, 809.52 and 421.44 is: 581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 809.52 = 421.44 : x
  2. Step 2: Convert to fraction form
    587.16/809.52 = 421.44/x
  3. Step 3: Cross multiply
    587.16x = 809.52 × 421.44
  4. Step 4: Simplify right side
    587.16x = 341,164.11
  5. Step 5: Solve for x
    x = 341,164.11/587.16
  6. Step 6: Final answer
    x = 581.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.