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Finding the Fourth Proportional to 419.55, 577.69 and 372.84

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Solution

The fourth proportional to 419.55, 577.69 and 372.84 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 577.69 = 372.84 : x
  2. Step 2: Convert to fraction form
    419.55/577.69 = 372.84/x
  3. Step 3: Cross multiply
    419.55x = 577.69 × 372.84
  4. Step 4: Simplify right side
    419.55x = 215,385.94
  5. Step 5: Solve for x
    x = 215,385.94/419.55
  6. Step 6: Final answer
    x = 513.37

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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.