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Finding the Fourth Proportional to 573.01, 858.74 and 410.33

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Solution

The fourth proportional to 573.01, 858.74 and 410.33 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.01 : 858.74 = 410.33 : x
  2. Step 2: Convert to fraction form
    573.01/858.74 = 410.33/x
  3. Step 3: Cross multiply
    573.01x = 858.74 × 410.33
  4. Step 4: Simplify right side
    573.01x = 352,366.88
  5. Step 5: Solve for x
    x = 352,366.88/573.01
  6. Step 6: Final answer
    x = 614.94

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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.