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Finding the Fourth Proportional to 612, 844.64 and 350.02

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Solution

The fourth proportional to 612, 844.64 and 350.02 is: 483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    612 : 844.64 = 350.02 : x
  2. Step 2: Convert to fraction form
    612/844.64 = 350.02/x
  3. Step 3: Cross multiply
    612x = 844.64 × 350.02
  4. Step 4: Simplify right side
    612x = 295,635.78
  5. Step 5: Solve for x
    x = 295,635.78/612
  6. Step 6: Final answer
    x = 483.06

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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.