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Finding the Fourth Proportional to 573.40, 857.97 and 342.41

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Solution

The fourth proportional to 573.40, 857.97 and 342.41 is: 512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.40 : 857.97 = 342.41 : x
  2. Step 2: Convert to fraction form
    573.40/857.97 = 342.41/x
  3. Step 3: Cross multiply
    573.40x = 857.97 × 342.41
  4. Step 4: Simplify right side
    573.40x = 293,779.65
  5. Step 5: Solve for x
    x = 293,779.65/573.40
  6. Step 6: Final answer
    x = 512.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.