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Finding the Fourth Proportional to 709.95, 980.00 and 415.31

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Solution

The fourth proportional to 709.95, 980.00 and 415.31 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.95 : 980.00 = 415.31 : x
  2. Step 2: Convert to fraction form
    709.95/980.00 = 415.31/x
  3. Step 3: Cross multiply
    709.95x = 980.00 × 415.31
  4. Step 4: Simplify right side
    709.95x = 406,996.82
  5. Step 5: Solve for x
    x = 406,996.82/709.95
  6. Step 6: Final answer
    x = 573.28

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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.