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Finding the Fourth Proportional to 573.65, 858.57 and 522.41

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Solution

The fourth proportional to 573.65, 858.57 and 522.41 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.65 : 858.57 = 522.41 : x
  2. Step 2: Convert to fraction form
    573.65/858.57 = 522.41/x
  3. Step 3: Cross multiply
    573.65x = 858.57 × 522.41
  4. Step 4: Simplify right side
    573.65x = 448,525.55
  5. Step 5: Solve for x
    x = 448,525.55/573.65
  6. Step 6: Final answer
    x = 781.88

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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.