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Finding the Fourth Proportional to 577.66, 797.17 and 409.90

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Solution

The fourth proportional to 577.66, 797.17 and 409.90 is: 565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.66 : 797.17 = 409.90 : x
  2. Step 2: Convert to fraction form
    577.66/797.17 = 409.90/x
  3. Step 3: Cross multiply
    577.66x = 797.17 × 409.90
  4. Step 4: Simplify right side
    577.66x = 326,761.01
  5. Step 5: Solve for x
    x = 326,761.01/577.66
  6. Step 6: Final answer
    x = 565.67

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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.