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Finding the Fourth Proportional to 616.47, 850.38 and 380.52

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Solution

The fourth proportional to 616.47, 850.38 and 380.52 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.47 : 850.38 = 380.52 : x
  2. Step 2: Convert to fraction form
    616.47/850.38 = 380.52/x
  3. Step 3: Cross multiply
    616.47x = 850.38 × 380.52
  4. Step 4: Simplify right side
    616.47x = 323,588.36
  5. Step 5: Solve for x
    x = 323,588.36/616.47
  6. Step 6: Final answer
    x = 524.91

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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.