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Finding the Fourth Proportional to 578.73, 798.13 and 357.60

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Solution

The fourth proportional to 578.73, 798.13 and 357.60 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.73 : 798.13 = 357.60 : x
  2. Step 2: Convert to fraction form
    578.73/798.13 = 357.60/x
  3. Step 3: Cross multiply
    578.73x = 798.13 × 357.60
  4. Step 4: Simplify right side
    578.73x = 285,411.29
  5. Step 5: Solve for x
    x = 285,411.29/578.73
  6. Step 6: Final answer
    x = 493.17

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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.