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Finding the Fourth Proportional to 577.36, 865.23 and 414.28

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Solution

The fourth proportional to 577.36, 865.23 and 414.28 is: 620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 865.23 = 414.28 : x
  2. Step 2: Convert to fraction form
    577.36/865.23 = 414.28/x
  3. Step 3: Cross multiply
    577.36x = 865.23 × 414.28
  4. Step 4: Simplify right side
    577.36x = 358,447.48
  5. Step 5: Solve for x
    x = 358,447.48/577.36
  6. Step 6: Final answer
    x = 620.84

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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.