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Finding the Fourth Proportional to 612.54, 844.71 and 465.18

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Solution

The fourth proportional to 612.54, 844.71 and 465.18 is: 641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 844.71 = 465.18 : x
  2. Step 2: Convert to fraction form
    612.54/844.71 = 465.18/x
  3. Step 3: Cross multiply
    612.54x = 844.71 × 465.18
  4. Step 4: Simplify right side
    612.54x = 392,942.20
  5. Step 5: Solve for x
    x = 392,942.20/612.54
  6. Step 6: Final answer
    x = 641.50

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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.