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Finding the Fourth Proportional to 612.30, 844.64 and 464.70

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Solution

The fourth proportional to 612.30, 844.64 and 464.70 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.30 : 844.64 = 464.70 : x
  2. Step 2: Convert to fraction form
    612.30/844.64 = 464.70/x
  3. Step 3: Cross multiply
    612.30x = 844.64 × 464.70
  4. Step 4: Simplify right side
    612.30x = 392,504.21
  5. Step 5: Solve for x
    x = 392,504.21/612.30
  6. Step 6: Final answer
    x = 641.03

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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.