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Finding the Fourth Proportional to 819.92, 1,230.08 and 357.58

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Solution

The fourth proportional to 819.92, 1,230.08 and 357.58 is: 536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.92 : 1,230.08 = 357.58 : x
  2. Step 2: Convert to fraction form
    819.92/1,230.08 = 357.58/x
  3. Step 3: Cross multiply
    819.92x = 1,230.08 × 357.58
  4. Step 4: Simplify right side
    819.92x = 439,852.01
  5. Step 5: Solve for x
    x = 439,852.01/819.92
  6. Step 6: Final answer
    x = 536.46

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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.