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Finding the Fourth Proportional to 577.45, 865.27 and 462.64

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Solution

The fourth proportional to 577.45, 865.27 and 462.64 is: 693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.45 : 865.27 = 462.64 : x
  2. Step 2: Convert to fraction form
    577.45/865.27 = 462.64/x
  3. Step 3: Cross multiply
    577.45x = 865.27 × 462.64
  4. Step 4: Simplify right side
    577.45x = 400,301.87
  5. Step 5: Solve for x
    x = 400,301.87/577.45
  6. Step 6: Final answer
    x = 693.22

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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.