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Finding the Fourth Proportional to 574.42, 857 and 522.46

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Solution

The fourth proportional to 574.42, 857 and 522.46 is: 779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 857 = 522.46 : x
  2. Step 2: Convert to fraction form
    574.42/857 = 522.46/x
  3. Step 3: Cross multiply
    574.42x = 857 × 522.46
  4. Step 4: Simplify right side
    574.42x = 447,748.22
  5. Step 5: Solve for x
    x = 447,748.22/574.42
  6. Step 6: Final answer
    x = 779.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.