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Finding the Fourth Proportional to 577.56, 864.49 and 414.45

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Solution

The fourth proportional to 577.56, 864.49 and 414.45 is: 620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 864.49 = 414.45 : x
  2. Step 2: Convert to fraction form
    577.56/864.49 = 414.45/x
  3. Step 3: Cross multiply
    577.56x = 864.49 × 414.45
  4. Step 4: Simplify right side
    577.56x = 358,287.88
  5. Step 5: Solve for x
    x = 358,287.88/577.56
  6. Step 6: Final answer
    x = 620.35

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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.