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Finding the Fourth Proportional to 577.35, 863.97 and 500.58

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Solution

The fourth proportional to 577.35, 863.97 and 500.58 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 863.97 = 500.58 : x
  2. Step 2: Convert to fraction form
    577.35/863.97 = 500.58/x
  3. Step 3: Cross multiply
    577.35x = 863.97 × 500.58
  4. Step 4: Simplify right side
    577.35x = 432,486.10
  5. Step 5: Solve for x
    x = 432,486.10/577.35
  6. Step 6: Final answer
    x = 749.09

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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.