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Finding the Fourth Proportional to 577.18, 796.60 and 367.45

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Solution

The fourth proportional to 577.18, 796.60 and 367.45 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 796.60 = 367.45 : x
  2. Step 2: Convert to fraction form
    577.18/796.60 = 367.45/x
  3. Step 3: Cross multiply
    577.18x = 796.60 × 367.45
  4. Step 4: Simplify right side
    577.18x = 292,712.71
  5. Step 5: Solve for x
    x = 292,712.71/577.18
  6. Step 6: Final answer
    x = 507.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.