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Finding the Fourth Proportional to 613.74, 846.54 and 392.31

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Solution

The fourth proportional to 613.74, 846.54 and 392.31 is: 541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 846.54 = 392.31 : x
  2. Step 2: Convert to fraction form
    613.74/846.54 = 392.31/x
  3. Step 3: Cross multiply
    613.74x = 846.54 × 392.31
  4. Step 4: Simplify right side
    613.74x = 332,106.11
  5. Step 5: Solve for x
    x = 332,106.11/613.74
  6. Step 6: Final answer
    x = 541.12

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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.