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Finding the Fourth Proportional to 577.14, 864.69 and 346.29

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Solution

The fourth proportional to 577.14, 864.69 and 346.29 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 864.69 = 346.29 : x
  2. Step 2: Convert to fraction form
    577.14/864.69 = 346.29/x
  3. Step 3: Cross multiply
    577.14x = 864.69 × 346.29
  4. Step 4: Simplify right side
    577.14x = 299,433.50
  5. Step 5: Solve for x
    x = 299,433.50/577.14
  6. Step 6: Final answer
    x = 518.82

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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.