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Finding the Fourth Proportional to 610.71, 843.04 and 386.84

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Solution

The fourth proportional to 610.71, 843.04 and 386.84 is: 534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.71 : 843.04 = 386.84 : x
  2. Step 2: Convert to fraction form
    610.71/843.04 = 386.84/x
  3. Step 3: Cross multiply
    610.71x = 843.04 × 386.84
  4. Step 4: Simplify right side
    610.71x = 326,124.18
  5. Step 5: Solve for x
    x = 326,124.18/610.71
  6. Step 6: Final answer
    x = 534.01

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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.