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Finding the Fourth Proportional to 573.50, 791.07 and 457.34

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Solution

The fourth proportional to 573.50, 791.07 and 457.34 is: 630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 791.07 = 457.34 : x
  2. Step 2: Convert to fraction form
    573.50/791.07 = 457.34/x
  3. Step 3: Cross multiply
    573.50x = 791.07 × 457.34
  4. Step 4: Simplify right side
    573.50x = 361,787.95
  5. Step 5: Solve for x
    x = 361,787.95/573.50
  6. Step 6: Final answer
    x = 630.84

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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.