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Finding the Fourth Proportional to 710.12, 979.83 and 415.33

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Solution

The fourth proportional to 710.12, 979.83 and 415.33 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.12 : 979.83 = 415.33 : x
  2. Step 2: Convert to fraction form
    710.12/979.83 = 415.33/x
  3. Step 3: Cross multiply
    710.12x = 979.83 × 415.33
  4. Step 4: Simplify right side
    710.12x = 406,952.79
  5. Step 5: Solve for x
    x = 406,952.79/710.12
  6. Step 6: Final answer
    x = 573.08

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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.