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Finding the Fourth Proportional to 577.64, 796.26 and 419.72

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Solution

The fourth proportional to 577.64, 796.26 and 419.72 is: 578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.64 : 796.26 = 419.72 : x
  2. Step 2: Convert to fraction form
    577.64/796.26 = 419.72/x
  3. Step 3: Cross multiply
    577.64x = 796.26 × 419.72
  4. Step 4: Simplify right side
    577.64x = 334,206.25
  5. Step 5: Solve for x
    x = 334,206.25/577.64
  6. Step 6: Final answer
    x = 578.57

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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.