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Finding the Fourth Proportional to 587.24, 810.46 and 410.44

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Solution

The fourth proportional to 587.24, 810.46 and 410.44 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 810.46 = 410.44 : x
  2. Step 2: Convert to fraction form
    587.24/810.46 = 410.44/x
  3. Step 3: Cross multiply
    587.24x = 810.46 × 410.44
  4. Step 4: Simplify right side
    587.24x = 332,645.20
  5. Step 5: Solve for x
    x = 332,645.20/587.24
  6. Step 6: Final answer
    x = 566.46

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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.