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Finding the Fourth Proportional to 577.46, 866.63 and 462.92

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Solution

The fourth proportional to 577.46, 866.63 and 462.92 is: 694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 866.63 = 462.92 : x
  2. Step 2: Convert to fraction form
    577.46/866.63 = 462.92/x
  3. Step 3: Cross multiply
    577.46x = 866.63 × 462.92
  4. Step 4: Simplify right side
    577.46x = 401,177.18
  5. Step 5: Solve for x
    x = 401,177.18/577.46
  6. Step 6: Final answer
    x = 694.72

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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.