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Finding the Fourth Proportional to 577.50, 864.23 and 346.52

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Solution

The fourth proportional to 577.50, 864.23 and 346.52 is: 518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 864.23 = 346.52 : x
  2. Step 2: Convert to fraction form
    577.50/864.23 = 346.52/x
  3. Step 3: Cross multiply
    577.50x = 864.23 × 346.52
  4. Step 4: Simplify right side
    577.50x = 299,466.93
  5. Step 5: Solve for x
    x = 299,466.93/577.50
  6. Step 6: Final answer
    x = 518.56

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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.