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Finding the Fourth Proportional to 536.12, 739.80 and 303.20

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Solution

The fourth proportional to 536.12, 739.80 and 303.20 is: 418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.12 : 739.80 = 303.20 : x
  2. Step 2: Convert to fraction form
    536.12/739.80 = 303.20/x
  3. Step 3: Cross multiply
    536.12x = 739.80 × 303.20
  4. Step 4: Simplify right side
    536.12x = 224,307.36
  5. Step 5: Solve for x
    x = 224,307.36/536.12
  6. Step 6: Final answer
    x = 418.39

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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.