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Finding the Fourth Proportional to 709.98, 979.84 and 415.34

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Solution

The fourth proportional to 709.98, 979.84 and 415.34 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.98 : 979.84 = 415.34 : x
  2. Step 2: Convert to fraction form
    709.98/979.84 = 415.34/x
  3. Step 3: Cross multiply
    709.98x = 979.84 × 415.34
  4. Step 4: Simplify right side
    709.98x = 406,966.75
  5. Step 5: Solve for x
    x = 406,966.75/709.98
  6. Step 6: Final answer
    x = 573.21

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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.