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Finding the Fourth Proportional to 519.60, 779.40 and 357.33

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Solution

The fourth proportional to 519.60, 779.40 and 357.33 is: 536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 779.40 = 357.33 : x
  2. Step 2: Convert to fraction form
    519.60/779.40 = 357.33/x
  3. Step 3: Cross multiply
    519.60x = 779.40 × 357.33
  4. Step 4: Simplify right side
    519.60x = 278,503.00
  5. Step 5: Solve for x
    x = 278,503.00/519.60
  6. Step 6: Final answer
    x = 536.00

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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.