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Finding the Fourth Proportional to 578.66, 798.23 and 357.46

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Solution

The fourth proportional to 578.66, 798.23 and 357.46 is: 493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 798.23 = 357.46 : x
  2. Step 2: Convert to fraction form
    578.66/798.23 = 357.46/x
  3. Step 3: Cross multiply
    578.66x = 798.23 × 357.46
  4. Step 4: Simplify right side
    578.66x = 285,331.51
  5. Step 5: Solve for x
    x = 285,331.51/578.66
  6. Step 6: Final answer
    x = 493.09

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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.