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Finding the Fourth Proportional to 573.68, 857.01 and 458.34

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Solution

The fourth proportional to 573.68, 857.01 and 458.34 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 857.01 = 458.34 : x
  2. Step 2: Convert to fraction form
    573.68/857.01 = 458.34/x
  3. Step 3: Cross multiply
    573.68x = 857.01 × 458.34
  4. Step 4: Simplify right side
    573.68x = 392,805.29
  5. Step 5: Solve for x
    x = 392,805.29/573.68
  6. Step 6: Final answer
    x = 684.71

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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.