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Finding the Fourth Proportional to 616.38, 851.06 and 395.45

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Solution

The fourth proportional to 616.38, 851.06 and 395.45 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.38 : 851.06 = 395.45 : x
  2. Step 2: Convert to fraction form
    616.38/851.06 = 395.45/x
  3. Step 3: Cross multiply
    616.38x = 851.06 × 395.45
  4. Step 4: Simplify right side
    616.38x = 336,549.38
  5. Step 5: Solve for x
    x = 336,549.38/616.38
  6. Step 6: Final answer
    x = 546.01

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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.