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Finding the Fourth Proportional to 577.02, 795.46 and 427.44

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Solution

The fourth proportional to 577.02, 795.46 and 427.44 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 795.46 = 427.44 : x
  2. Step 2: Convert to fraction form
    577.02/795.46 = 427.44/x
  3. Step 3: Cross multiply
    577.02x = 795.46 × 427.44
  4. Step 4: Simplify right side
    577.02x = 340,011.42
  5. Step 5: Solve for x
    x = 340,011.42/577.02
  6. Step 6: Final answer
    x = 589.25

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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.