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Finding the Fourth Proportional to 616.71, 850.99 and 407.33

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Solution

The fourth proportional to 616.71, 850.99 and 407.33 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 850.99 = 407.33 : x
  2. Step 2: Convert to fraction form
    616.71/850.99 = 407.33/x
  3. Step 3: Cross multiply
    616.71x = 850.99 × 407.33
  4. Step 4: Simplify right side
    616.71x = 346,632.44
  5. Step 5: Solve for x
    x = 346,632.44/616.71
  6. Step 6: Final answer
    x = 562.06

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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.