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Finding the Fourth Proportional to 710.69, 980.76 and 412.00

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Solution

The fourth proportional to 710.69, 980.76 and 412.00 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.69 : 980.76 = 412.00 : x
  2. Step 2: Convert to fraction form
    710.69/980.76 = 412.00/x
  3. Step 3: Cross multiply
    710.69x = 980.76 × 412.00
  4. Step 4: Simplify right side
    710.69x = 404,069.64
  5. Step 5: Solve for x
    x = 404,069.64/710.69
  6. Step 6: Final answer
    x = 568.56

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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.