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Finding the Fourth Proportional to 710.93, 980.92 and 412.13

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Solution

The fourth proportional to 710.93, 980.92 and 412.13 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 980.92 = 412.13 : x
  2. Step 2: Convert to fraction form
    710.93/980.92 = 412.13/x
  3. Step 3: Cross multiply
    710.93x = 980.92 × 412.13
  4. Step 4: Simplify right side
    710.93x = 404,266.56
  5. Step 5: Solve for x
    x = 404,266.56/710.93
  6. Step 6: Final answer
    x = 568.64

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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.