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Finding the Fourth Proportional to 577.36, 795.80 and 409.10

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Solution

The fourth proportional to 577.36, 795.80 and 409.10 is: 563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 795.80 = 409.10 : x
  2. Step 2: Convert to fraction form
    577.36/795.80 = 409.10/x
  3. Step 3: Cross multiply
    577.36x = 795.80 × 409.10
  4. Step 4: Simplify right side
    577.36x = 325,561.78
  5. Step 5: Solve for x
    x = 325,561.78/577.36
  6. Step 6: Final answer
    x = 563.88

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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.