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Finding the Fourth Proportional to 612.69, 846.08 and 392.10

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Solution

The fourth proportional to 612.69, 846.08 and 392.10 is: 541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.69 : 846.08 = 392.10 : x
  2. Step 2: Convert to fraction form
    612.69/846.08 = 392.10/x
  3. Step 3: Cross multiply
    612.69x = 846.08 × 392.10
  4. Step 4: Simplify right side
    612.69x = 331,747.97
  5. Step 5: Solve for x
    x = 331,747.97/612.69
  6. Step 6: Final answer
    x = 541.46

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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.