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Finding the Fourth Proportional to 616.16, 850.36 and 364.16

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Solution

The fourth proportional to 616.16, 850.36 and 364.16 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 850.36 = 364.16 : x
  2. Step 2: Convert to fraction form
    616.16/850.36 = 364.16/x
  3. Step 3: Cross multiply
    616.16x = 850.36 × 364.16
  4. Step 4: Simplify right side
    616.16x = 309,667.10
  5. Step 5: Solve for x
    x = 309,667.10/616.16
  6. Step 6: Final answer
    x = 502.58

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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.