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Finding the Fourth Proportional to 612.79, 846.83 and 465.17

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Solution

The fourth proportional to 612.79, 846.83 and 465.17 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.79 : 846.83 = 465.17 : x
  2. Step 2: Convert to fraction form
    612.79/846.83 = 465.17/x
  3. Step 3: Cross multiply
    612.79x = 846.83 × 465.17
  4. Step 4: Simplify right side
    612.79x = 393,916.84
  5. Step 5: Solve for x
    x = 393,916.84/612.79
  6. Step 6: Final answer
    x = 642.83

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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.