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Finding the Fourth Proportional to 616.46, 850.32 and 392.39

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Solution

The fourth proportional to 616.46, 850.32 and 392.39 is: 541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.46 : 850.32 = 392.39 : x
  2. Step 2: Convert to fraction form
    616.46/850.32 = 392.39/x
  3. Step 3: Cross multiply
    616.46x = 850.32 × 392.39
  4. Step 4: Simplify right side
    616.46x = 333,652.81
  5. Step 5: Solve for x
    x = 333,652.81/616.46
  6. Step 6: Final answer
    x = 541.24

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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.