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Finding the Fourth Proportional to 573.98, 792.07 and 325.35

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Solution

The fourth proportional to 573.98, 792.07 and 325.35 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 792.07 = 325.35 : x
  2. Step 2: Convert to fraction form
    573.98/792.07 = 325.35/x
  3. Step 3: Cross multiply
    573.98x = 792.07 × 325.35
  4. Step 4: Simplify right side
    573.98x = 257,694.39
  5. Step 5: Solve for x
    x = 257,694.39/573.98
  6. Step 6: Final answer
    x = 448.96

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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.